What is the angle between A and B, if A = 3.0i+5.0j and B = -3.0 i +7.0j Equation: A.B=AB cos 0

Answers

Answer 1

The angle between vectors A and B, with A = 3.0i + 5.0j and B = -3.0i + 7.0j, is approximately 40.12 degrees. This is calculated using the dot product formula and the inverse cosine function.

To find the angle between vectors A and B, we can use the dot product formula:

A · B = |A| |B| cos θ

where A · B is the dot product of vectors A and B, |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.

Given A = 3.0i + 5.0j and B = -3.0i + 7.0j, we can calculate the magnitudes of A and B as:

|A| = sqrt((3.0)^2 + (5.0)^2) = sqrt(9 + 25) = sqrt(34)

|B| = sqrt((-3.0)^2 + (7.0)^2) = sqrt(9 + 49) = sqrt(58)

Next, we calculate the dot product A · B:

A · B = (3.0)(-3.0) + (5.0)(7.0) = -9 + 35 = 26

Now we can solve for the angle θ:

26 = sqrt(34) * sqrt(58) * cos θ

cos θ = 26 / (sqrt(34) * sqrt(58))

Using a calculator, we can find cos θ ≈ 0.7773.

Finally, we can find the angle θ by taking the inverse cosine of 0.7773:

\(\theta \approx cos^{-1}(0.7773)\)

θ ≈ 40.12 degrees

Therefore, the angle between vectors A and B is approximately 40.12 degrees.

To know more about vectors refer here:

https://brainly.com/question/30900097#

#SPJ11


Related Questions

1. Who were the first three countries to build rocket engines?
O Russia, Germany, China
O Germany, China, Canada
O Russia, USA, Germany
O USA. China, Russia

Answers

Answer:

i think its  Russia, USA, Germany.

A large syringe is connected, through an infusion tube, to a smaller one. They contain colored water. What happens if we press on the plunger of the small syringe?

Answers

If you press on the plunger, you increase the pressure of the air, and thus the air in the small syringe escapes out, and hens the large syringe gets expanded.

Also the colored water gets filled inside the larger syringe.


What would be the net force on an object if the object's acceleration is 0?

Answers

Answer:

Explain. yes it is possible because when the net force is zero and acceleration is zero. ... no, Neglecting air friction, the only force acting on this object is the force of gravity downward. There is no force of equal magnitude as the force of gravity acting in the opposite direction.

If the mean of 6, 7,.x, 13 and 10 is 8, find range.​

Answers

Answer:

Range = 9

Explanation:

From the question,

Mean = summation data/Total frequency

Mean = (6+7+x+13+10)/5

If the mean is 8,

8 = (36+x)/5

Solve for x

36+x = 8×5

36+x = 40

x = 40-36

x = 4.

Range is the difference between the biggest and the smallest value in a given distribution.

from the above,

Range = 13-4

Range = 9

Which form of energy is converted to electrical energy in a voltaic cell?.

Answers

Answer:

chemical energy is converted to electrical energy in a voltaic cell.

List two things you should not do when encountering a funeral procession?

Answers

party and being happy..........

What is the example of conjunctive adverb?.

Answers

A Conjunctive adverb is a word that connects to complete clauses with each other and define their relationship.

An adverb is a word or phrase that defines and qualifies the quality of the verb. That means it tell us that how and when the things are happening for the particular adjective or verb. For an example, fast running. Here, the word fast is the adverb because the word fast is telling us about the nature of running which is fast.

A conjunctive adverb is a word that connects two sentences together.

For an example, He is said since I told him about college.

Here, "He is said" since "I told him".

So, the world "since" is the conjunctive adverb because it is connecting the two complete different sentence.

To know more about Adverb, visit,

https://brainly.com/question/912194

#SPJ4

HELP ME PLSSSS PLSSS PLSSSS

HELP ME PLSSSS PLSSS PLSSSS

Answers

Answer:

Its upside down

Explanation:

I recommend asking a teacher for help

Nina O'Brień of the US competes in the Giant Slalom. The vertical drop is 424
meters, and took Nina 58.81 seconds to complete the course. What is her
average speed?

Answers

Formula for Speed: s = d/t
(speed = distance over time)

s = 434/58.81 = 7.20965822

s = 7.20

Shonda is learning about a new kind of material that might be used to make new satellites, and she wonders if light can damage
the material. The table below shows what happens when different types of light hit the material.

Answers

Since the material does not absorb energy from either X-ray or gamma ray light, neither form of light is likely to harm it.

Which kind of light is more likely to harm objects?

A handheld UV meter can be used to measure ultraviolet (UV) radiation, which is measured in microwatts of UV radiation per lumen of visible light. UV radiation's high energy causes significant harm to collection materials.

Can light alter the mysterious substance?

No. Light is not a physical object, hence the unknown substance cannot change. Light cannot transform material objects like the mystic substance.

What happens when light is absorbed by a new substance?

Refraction happens when light passes through one medium and then another, altering its speed as it does so. As a result, when light strikes the surface of a new substance, it bends.

To know more about the light visit:

https://brainly.com/question/3156324

#SPJ1

how do you state a hypothesis?

Answers

Start with saying “If...” and then say “the the....”
A hypothesis is usually written in a form where it proposes that, if something is done, then something else will occur. Usually, you don't want to state a hypothesis as a question. You believe in something, and you're seeking to prove it.
Hopefully this helped.

A positive charge of 2.3 x 10-5 C is located 0.58 m away from another positive charge of 4.7 × 10- C. What is the electric force between the two charges?
A. 2.13 N
B. 2.89 N
C. 1.68 N
D. 3.41 N

Answers

The electric force between two charges can be calculated using Coulomb's law:

F = k * (|q1| * |q2|) / r^2

where F is the electric force, k is the electrostatic constant (k = 8.99 × 10^9 N m^2/C^2), |q1| and |q2| are the magnitudes of the charges, and r is the distance between the charges.

Given:
|q1| = 2.3 × 10^-5 C
|q2| = 4.7 × 10^-5 C
r = 0.58 m

Substituting the values into Coulomb's law, we have:

F = (8.99 × 10^9 N m^2/C^2) * (|2.3 × 10^-5 C| * |4.7 × 10^-5 C|) / (0.58 m)^2

Calculating this expression, we find:

F ≈ 2.89 N

Therefore, the electric force between the two charges is approximately 2.89 N. The correct option is B. 2.89 N.

I hope this helps! :)

???????????????????????????????????

Answers

What happened the thing is kinda glitched

Redox reactions include which types of reactions?
A. Single-replacement, double-replacement, acid-base, synthesis
B. Single-replacement, synthesis, decomposition, combustion
C. Acid-base, decomposition, double-replacement, synthesis
O D. Double-replacement, combustion, synthesis, decomposition

Answers

Answer:Single-Replacement, synthesis, decomposition, combustion.

Explanation:

Had to get it wrong to find out

Redox reactions include Single-replacement, synthesis, decomposition, composition Reactions. Hence option B is correct.

What is redox reaction ?

Redox reaction is type of reaction in which oxidation number participating molecules changes. Redox reaction involves two types of the reaction oxidation and reduction. these two reaction take place simultaneous. Oxidation is the loss of electrons and reduction is the gain of electrons.

Oxidation is nothing but addition of oxygen and loss of hydrogen and reduction is loss of oxygen and gain of hydrogen.

Redox reactions include Single-replacement, synthesis, decomposition, composition Reactions.

The oxidation half-reaction is: H₂ → 2H⁺ + 2e⁻

The reduction half-reaction is: F₂ + 2e⁻ → 2F⁻

Hence option B is correct.

To know more about redox reaction ;

https://brainly.com/question/13293425

#SPJ7.

What is the polarity of each of the earths magnetic poles ? Explain you answer

Answers

Answer:

When you put un-like poles together (South facing North) you can feel magnetic attraction. In the Northern Hemisphere, your compass needle points North, but if you think about it for a moment, you will discover that the magnetic pole in the Earth's Northern Hemisphere has to be a South polarity.

How is Schwartz's behavior of saying "uncle" beign negatively reinforcement

Answers

Answer:

is being negatively reinforced. The unpleasant stimulus that Schwartz is experiencing is the electric shock, and by yelling "Uncle!" he is reducing that stimulation and making himself feel better. As a result, he is receiving unfavorable reinforcement for his behavior.

Explanation:

7. Roughly how much did the cost of PV solar panels decrease between 2008 and 2015?
40%
80%
60%
20%
US 0

7. Roughly how much did the cost of PV solar panels decrease between 2008 and 2015?40%80%60%20%US 0

Answers

Well isnt there an article attached or something? But from research I got around 60%

How are the weight and the mass of an object related?

Answers

Answer:

The weight and the mass of an object are related because the weight of an object is a measure of the force exerted on the object by gravity, or the force needed to support it. w=mg

a crane lifts a load from rest up to the top of a tower and gently sets it down. match the description on the right with the work done on the left.

Answers

The work done by the crane on the load is positive. As the load was initially at rest, the crane had to apply a force greater than the weight of the load to lift it up against gravity. This means that the crane did work on the load by transferring energy to it in the form of gravitational potential energy.

The work done is equal to the product of the force applied by the crane and the distance over which the force was applied.

Once the load reaches the top of the tower, the work done on the load is zero. This is because the load is no longer moving and is not experiencing any change in potential energy or kinetic energy. The crane is also not applying any force on the load at this point.

As the crane gently sets the load down, the work done on the load is negative. The crane is applying a force that is less than the weight of the load, and the load is moving in the opposite direction to its initial motion. This means that the crane is transferring energy out of the load, resulting in a decrease in the load's potential energy. The work done is equal to the product of the force applied by the crane and the distance over which the force was applied, which is in the opposite direction to the direction of motion.

To know more about  work done  visit:

brainly.com/question/13662169

#SPJ11

If the rock was going 90m/s when it hit the ground. How many seconds would it have been falling for?

Answers

Answer:

it will hit 80

Explanation:

because evey sec

is 10

AV=
12.0V
11 ohms
01 ohm
R₁-2.00
M
What is the equivalent resistance of the circuit shown?
23 ohms
110 ohms
R₂ = 5.00
R₂
4.00

AV=12.0V11 ohms01 ohmR-2.00MWhat is the equivalent resistance of the circuit shown?23 ohms110 ohmsR =

Answers

Answer:

11 Ω

Explanation:

You need to add up all the resistances of the circuit, because it is a series connection here

R = 2,0 Ω + 4,0 Ω + 5,0 Ω = 11 Ω

How many protons does Silicone have

A.2
B.14
C.28
D.28.08

How many protons does Silicone haveA.2B.14C.28D.28.08

Answers

Answer:

14

Explanation:

the left top is protons

hope this helps :)

Measure a coin using vernier caliper and give observation table

Answers

vernier caliper is clean and free from any debris or dirt that may affect the accuracy of the measurement.

how to measure a coin using a vernier caliper and an observation table to record the measurements. Instructions:

Ensure that the vernier caliper is clean and free from any debris or dirt that may affect the accuracy of the measurement.

Place the coin on a flat surface and inspect it for any irregularities that may affect the measurement.

Gently pick up the coin and place it in between the jaws of the vernier caliper. The jaws should be placed on opposite sides of the coin and be perpendicular to the coin's surface.

Tighten the jaws of the vernier caliper until they are snug against the coin.

Read the measurement from the scale on the vernier caliper. The scale should be read to the nearest 0.01 mm.

Record the measurement in the observation table below.

Observation table:

Measurement 1 Measurement 2 Measurement 3 A.measurement

Repeat the process at least three times to get an accurate measurement. Record each measurement in the observation table and calculate the average measurement by adding up all the measurements and dividing by the number of measurements taken.

For more such questions on vernier caliper , Visit:

https://brainly.com/question/24694454

#SPJ11

Describe a ways car manufacturers try to reduce drag and why.

Answers

Aerodynamic drag can be reduced by altering the density of the air and the vehicle speed, but these factors are not easily controlled. Instead, to reduce drag, car manufacturers can make the height and width of the front of the car smaller. ... This shape reduces drag and the forces that try to propel the car backwards

Aerodynamics is a way to reduce drag that uses car manufacturers.

What is aerodynamic ?

Aerodynamics is the motion of the air. airplane flies cause of aerodynamics.

Aerodynamics is the study of forces that are resulted by motion of the air.

To reduce the aerodynamic drag further, the manufacturers use character lines on the exteriors of the car's body right from its concept stage. These lines help the air to pass smoothly over the body and thus, reducing the air resistance.

cars have flat vertical face in front. When it moves through air, drag force directly proportional to the velocity applies on the car which opposes motion of the car. after studding aerodynamics when we make triangular like shape to the front body of the car, it cuts the air and front air goes from side of the car which reduces oppose to the motion, and car can have more speed.  

To know more about aerodynamic :

https://brainly.com/question/3800219

#SPJ3.

is water wet? or does it make things wet?

Answers

Water is not wet itself or it does not make things wet. The water makes bond with the other materials through adhesive forces.

What is Wetness?

Wetness is a description of the experience of water, it is a quality of the liquid water. Liquid water is not itself wet, however it cannot even make things actually wet. Wetness is the ability of a liquid to adhere to the surface of a solid material, so when we say that something is wet, we mean that the liquid material is sticking to the surface of a material.

An adhesion is present between two things and something that the water molecules cannot do to itself. Water has to be wetted by something else or it makes no sense at all. Water can be wetted easily by oil or another foreign liquid, however it cannot wet itself.

Learn more about Wetness here:

https://brainly.com/question/8690223

#SPJ9

To sustain laser action it is usually necessary to place the lasing material between the two mirrors of an optical cavity. Why? a. The Pauli exclusion principle requires that the photons have different quantum numbers. The cavity guaranties this. b. This is required by the uncertainty principle.c. The mirrors produce thin-film interference, which enhances laser action. d. Photons are reflected back and forth through the lasing medium, which greatly increases the probability of stimulated emission. e. We have to confine the photons, because confinement leads to energy quantization.

Answers

Photons are reflected back and forth through the lasing medium, which greatly increases the probability of stimulated emission. The correct answer is d.

Placing the lasing material between the two mirrors of an optical cavity allows the photons to bounce back and forth through the lasing medium, increasing the probability of stimulated emission and amplifying the light to produce a laser beam. This process is essential for the sustained laser action. The Pauli exclusion principle and energy quantization may be relevant to the behavior of atoms and electrons in the lasing material, but they do not directly explain the need for an optical cavity. The uncertainty principle and thin-film interference are also not directly related to the function of an optical cavity in laser operation.
To sustain laser action, it is usually necessary to place the lasing material between the two mirrors of an optical cavity because:
d. Photons are reflected back and forth through the lasing medium, which greatly increases the probability of stimulated emission.

The optical cavity allows photons to travel back and forth through the lasing medium, increasing the chances of interacting with excited atoms and causing stimulated emission. This process amplifies the light, leading to the production of a coherent laser beam.

Visit here to learn more about Photons:

brainly.com/question/20912241

#SPJ11

1. Two 500 g point masses are rotating on a light frame at a radius of 0.1 m from a vertical axis. The angular speed of the system is 20 rad s-1. a a) What is the moment of inertia of the system about the axis? b) What is the angular momentum of the system about the axis? c) If the masses were pulled into a radius of 0.05 m by an internal radial force, what would the angular momentum of the system now be? d) What is the new angular speed of each mass? e) By how much did the energy of the masses change?

Answers

(a) The moment of inertia of the system about the axis can be calculated using the formula for the moment of inertia of a point mass rotating about an axis.

(b) The angular momentum of the system about the axis can be determined by multiplying the moment of inertia by the angular speed.

(c) If the masses are pulled into a smaller radius, the moment of inertia will change, resulting in a new angular momentum for the system.

(d) The new angular speed of each mass can be calculated using the principle of conservation of angular momentum.

(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system.

(a) To calculate the moment of inertia of the system about the axis, we consider the two point masses rotating at a given radius. The moment of inertia for each point mass is given by the formula I = m * r², where m is the mass and r is the radius.

Since there are two masses, we can calculate the total moment of inertia by summing the individual moments of inertia.

(b) The angular momentum of the system is determined by multiplying the moment of inertia by the angular speed. Using the formula L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular speed, we can find the angular momentum of the system.

(c) If the masses are pulled into a smaller radius, the moment of inertia will change. We can calculate the new moment of inertia using the same formula as in (a) but with the new radius. With the new moment of inertia, we can determine the new angular momentum of the system.

(d) To find the new angular speed of each mass, we apply the principle of conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum. By rearranging the equation L = I * ω and solving for ω, we can calculate the new angular speed.

(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system. The initial kinetic energy is given by (1/2) * I * ω², where I is the initial moment of inertia and ω is the initial angular speed.

Similarly, the final kinetic energy can be calculated using the new moment of inertia and angular speed. The difference between the initial and final kinetic energies represents the change in energy of the masses.

Learn more about system

brainly.com/question/7589753

#SPJ11

430 N is applied to a 250 kg object. What is the acceleration?

Answers

Answer:

a= 1.72 m/sec/sec

Explanation:

F=ma , here force is given as 430N and mass as 250 kg so using the formula acceleration can be calculated as follows

∴F=ma

1 N= 1 kg m\(s^{-2}\)

\(a=\frac{F}{m}\)

\(a=\frac{430 kg m/sec/sec}{250 kg}\)

a= 1.72 \(ms^{-2}\)

imagine that a space probe could be fired as a projectile from the earth's surface with an initial speed of 5.38 104 m/s relative to the sun. what would its speed be when it is very far from the earth (in m/s)? ignore atmospheric friction, the effects of other planets, and the rotation of the earth.

Answers

The speed of the space probe when fired as a projectile from the earth's surface relative to the sun is 52.62* 10³ m/s.

As per energy conservation we can say,

Entire initial energy of an object at the earth's surface equals total final energy of an object at its greatest point

Now we have,

U1 = -(G M* m)/R + 1/2 mv²

where,

M = mass of earth

m = mass of object

R = radius of earth

Now, when an object travels far from the earth, all of its energy is kinetic.

U2 = 1/2* m * vf²

Now by energy conservation,

-(G M* m)/R + 1/2 m v² = 1/2* m * vf²

-(G M)/R + 1/2 v² = 1/2 vf²

-[( 6.67* 10⁻¹¹)(5.98* 10²⁴)]/6.37* 10⁶ + 1/2* (5.38* 10⁴)² = 1/2 vf²

-6.26* 10⁷ + 144.7 * 10⁷ = 1/2 vf²

1/2 vf² = 138.44* 10⁷

vf² = 2768.8* 10⁶

vf = 52.62* 10³ m/s

Thus, the speed of the space probe is 52.62* 10³ m/s.

To know more about speed:

https://brainly.com/question/13027259

#SPJ4

Answer quick!!! (Edge 2021)
Haley noticed a small spot on her skin that turned out to be skin cancer. Which treatment is her doctor most likely to use?
A) Brachytherapy
B) Superficial external beam radiation therapy
C) Radiopharmaceuticals
D) High Intensity Focused Ultrasounds

Answers

Answer:
B) Superficial External bean Radiation Therapy.

Explanation:

Surgery, radiation, chemotherapy and hormone therapy can all be used to relieve signs and symptoms. Medications may relieve symptoms such as pain and shortness of breath. Palliative treatment can be used at the same time as other treatments intended to cure your cancer.

The treatment most likely to use is Superficial External bean Radiation Therapy. Then the correct option is B.

What is the electromagnetic spectrum?

The electromagnetic spectrum consists of the range of all types of EM radiation. Radiation is a packet of energy that travels and spreads out.

It has radio waves, infrared waves, visible light waves, ultraviolet rays, and microwaves.

They possess high energy even to penetrate deep within the material. the electromagnetic spectrum has a longer wavelength and less frequency.

Haley noticed a small spot on her skin that turned out to be skin cancer.

Surgery, radiation, chemotherapy, and hormone therapy can all be used to relieve signs and symptoms.

Medications may relieve symptoms such as pain and shortness of breath. Palliative treatment can be used.

The treatment most likely to use is Superficial External bean Radiation Therapy.

Then the correct option is B.

Learn more about the electromagnetic spectrum.

https://brainly.com/question/23727978

#SPJ5

Other Questions
Select the correct answer. What is the simplest form of the ratio 40: 167 ; A 20:8 ,B10:4 ,C5:4, D. 5:2, E. 10:8. Will give brainlyest. NEED ANSWERS ASAP ~Giving brainliest to best answer:> if one gallon of whole milk cost $3.84 at this rate how much does a cup of whole milk cost From the information below, select the optimal capital structure for Jumbo Infotainment Enterprises. a. Debt = 20%; Equity = 80%; EPS = $2.95; WACC = 13,79%. b. Debt 30%; Equity = 70% ; EPS = $3.05; WACC=13.71%. c. Debt = 40%; Equity = 60%; EPS = $3.18; WACC=13.75%. d. Debt = 50%; Equity=50%; EPS = $3.31; WACC = 13.87%. e. Debt 60% ; Equity = 40 % ; EPS = $3.42; WACC=14.22%. In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?(6,4)(7,7)(2,12)(0,1) How do you do 2s facts?. As climate changes because of global warming, plant species' ranges in the northern hemisphere may move northward. The trees that are most likely to avoid extinction in such an environment are those that _____. QuestionYou and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions.a. Write an expression in simplest form that represents the difference between the number of subscriptions your friend has sold and the number you have sold. b. After 5 weeks, your friend has sold more subscriptions than you. matt and eric are young men. each has a good credit history. they work at the same company and make approximately the same salary. matt has borrowed $6000 to take a foreign vacation. eric has borrowed $6000 to buy a car. who is likely to pay the lowest finance charge? If one of the organ systems were removed or stopped functioning, how will it affect the health and activity of a person? How were the heliocentric theories of Copernicus and Kepler different?Kepler believed that planets made elliptical orbits.Kepler believed that planets revolved around Earth.Copernicus believed that planets traveled counterclockwise.Copernicus believed that planets did not have their own gravities. Suppose you deposited $40 per month into a savings plan for 9 years and at the end of that period your balance was $19,600.What was the amount you earned in interest?------------------------------------------------------A. It is impossible to compute without knowing the APR. To find the correct answer, multiply each $40 deposit by the APR, and then multiply the product by the number of months in 9 years.B. It was $15,280. Calculate the amount deposited over 9 years and then subtract it from the balance of $19,600.C. It is impossible to compute without knowing the APR. To find the correct answer, divide the number of payments by the APR.D. It was $15,280. Divide the balance of $19,600 by the number of years,9.E. It was $30,560. Multiply the balance of $19,600 by the number of years,9.F. it was $30,560.Calculate the amount deposited over 9 years and then add it to the balance of $19,600. 1Jenny is arranging rows of chairs for the student play.There are 7 chairs in the first row.Each row behind the first row has two more chairs than the previous row.Complete the explicit definition for this sequence. Your answer must be fully simplified.Explicit Definition of an Arithmetic Sequencean = a1 + (n-1) d What is the main argument against lifetime appointments for judges? 7th grade math pls help According to locke (borrowing a concept from aristotle), each of us is born with a blank slate, or ________, on which are written the life experiences we acquire through our senses. SHOW YOUR WORK! HELP ME 100 Points!!!!Building A: Building B:radius = 10 m radius = 10 m, height = 20 m, slant height = 22.4 m(a) Verify that they have the same volume: Volume of building A = Volume of building B = (b) Find the surface area of both buildings: Surface area of building A = Surface area of building B = (c) Use your answers from part (b) to identify which building has the least amount of heat loss. Justify your answer. Need help, please I cant get these wrong! Hello i was having some trouble with my homework i was hoping if you can help.The question states: Sanjay rides his bike to work 15 kilometers in two days. He works five days per week.How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers? (it will be a big help if you could explain the work just so i know how to answer these type of question's please.Also i cant send picture im not sure how to.)A.4 weeksB.7.5 weeksC.10 weeksD.20 weeks Morris Davis, a waiter, earns $8.45 per hour plus tips. This week, he worked 38 hours and received $192.50 in tips. What were his weekly wages?$470.75$488.65$497.50$513.60None of these choices are correct.