Find a unit vector perpendicular to the vectors given A=4i+2j+2k and B=4i-4j+8k.

Answers

Answer 1

The cross product of A and B is perpendicular to both A and B.

A × B = (4i + 2j + 2k) × (4i - 4j + 8k)

A × B = 16 (i × i) - 16 (i × j) + 32 (i × k) + 8 (j × i) - 8 (j × j) + 16 (j × k) + 8 (k × i) - 8 (k × j) + 16 (k × k)

A × B = -16 (i × j) - 32 (k × i) - 8 (i × j) + 16 (j × k) + 8 (k × i) + 8 (j × k)

A × B = -16k - 32j - 8k + 16i + 8j + 8i

A × B = 24i - 24j - 24k

The magnitude of A × B is

||A × B|| = 24 ||i - j - k|| = 24√3

Dividing A × B by its magnitude gives a unit vector,

(A × B)/||A × B|| = 1/√3 (i - j - k)


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Highest common factor of 12r and 10

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I think the number 2, not sure

The Sankey diagrams below show the energy transfers in two light bulbs. What is the efficiency of light bulb 2? Give your answer to the nearest 0.5 percent

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Answer:

Divide the useful energy by the total energy and you will get the efficiency which should be between 0 and 1. Multiply by 100 to find the percentage efficiency.

Explanation:

are dimensionless quantities always unitless​

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Important thing is that all unitless quantity is dimensionless quantity. .A dimensionless physical quantity may have an unit

Important thing is that all unitless quantity is dimensionless quantity. ... A dimensionless physical quantity may have an unit (e.g. Mechanical equivalent of heat) but a unitless physical quantity is always dimensionless (e.g. Coefficient of friction , refractive index

explique o que você da frase:"não somos seres humanos passando por uma experiência espiritual... somos seres espirituais passando por uma experiência humana

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Answer:

Talvez o que ele quis dizer é que tudo o que temos não é nosso, mas de Deus, e o que fazemos é saber como será estar vivo

NEED HELP!!! ANSWER THESE 5 QUESTIONS FOR 25 POINTS!!!! PLEASE ANSWER!! I WILL GIVE YOU BRAINLIEST

1. Therese plays lacrosse, but she has injured her ankle and has to take a few weeks off. She is finding that she has a lot of trouble sleeping since she is no longer practicing several days a week. What BEST explains this?
A.
She needs regular exercise to move oxygen through the blood.
B.
She clearly requires more exercise than most people to relieve stress.
C.
She is not releasing the endorphins that she used to, and that impacts her sleep.
D.
She is likely not maintaining the healthy habits that she did when she was practicing.


2. Imagine that you are running and want to track your heart rate. What is the easiest way to do this?
A.
Check your pulse at the wrist or neck.
B.
It can’t be done without special equipment.
C.
Close your eyes and count to 30 very slowly.
D.
Take off your shoe and check the top of your foot.


3. Guillermo has decided that he wants to be healthier, so he starts jogging. He has been at it for a week, but he is getting frustrated because he cannot run very far without getting out of breath. He is beginning to think that this is not a good exercise for him since he is not very good at it. What BEST explains why Guillermo is struggling?
A.
He probably does not have good form when he is exercising.
B.
He likely has heart or lung problems that he was not aware of.
C.
He does not have much endurance since he is new to exercise.
D.
He is just not good at jogging and needs to try something else.

4. Li Wei loves cardio and finds it very easy to fit into his schedule. Because he knows it is important to diversify his exercise routine, sometimes he runs and other days he rides his bike. What else should Li Wei consider regarding his routine?
A.
He should add some strength training.
B.
He needs to add one more form of cardio.
C.
He has too much cardio and should cut half of it.
D.
His program works for him, so he should not change it.


5. Jamar has decided that he is going to train for a marathon. He knows that it will take a lot of training, and that he will need to build his muscles. What part of the muscle does he need to build?
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oxygen levels
B.
fast twitch fiber
C.
slow twitch fibers
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PLEASE NO LINKS

Answers

Answer:

1.A

2.C

3.A

4.B

5.D

Explanation:

CORRECT ME IF IM WRONG

Thea uses a hairdryer to dry her hair. The hairdryer has an efficiency of 0.5 and the total input energy is 180 kJ. How much of the energy supplied is wasted? Give your answer in joules

Answers

90kJ of the energy supplied to the hair dryer is wasted.

Efficiency is the ratio of output to input. It is given by:

Efficiency = output / input

Given an efficiency of 0.5 and the total input energy is 180 kJ. Hence:

Efficiency = output / input

0.5 = output / 180 kJ

Output = 90 kJ

Amount of wasted energy = Input - output = 180kJ - 90kJ = 90kJ

Therefore 90kJ of the energy supplied is wasted.

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what happens as a result of an increase in the intensity of a sound wave?

A. the frequency of the sound wave increases.

B.the velocity of the sound wave decreases

C. the energy of the sound wave increases

D. the amplitude of the sound decreases

Answers

As the intensity increases the energy increases.

Answer:

C. the energy of the sound wave increases

C. The energy of the sound wave increases

Lichens are not single organisms, but algae and fungi that function together. The algae use photosynthesis to make food for both organisms. The fungi produce digestive chemicals and absorb nutrients for both organisms. How does the biological activity of lichens cause weathering in rocks? Answer options with 4 options A. Lichens cause friction as they grow, which weathers the rocks. B. Lichens produce chemicals, which dissolve and weather the rocks. C. Lichens take in water, which freezes in cracks and weathers the rocks. D. Lichens absorb heat during photosynthesis, which weathers the rocks.

Answers

Answer:

The correct answer is B

Lichens produce chemicals which dissolve and weather the rocks.

What could have happened to Earth's ozone layer without the Montreal Protocol?

Answers

Answer:

Plants all around the world would have withered and wilted without the Montreal Protocol, according to a study published this week in the journal Nature. Many of them would have died and disappeared altogether. They would have been zapped by the harmful UV rays piercing through the planets damage ozone layer.

i am asking this question again because the quality of the pictures. answer the following 2 questions :)

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I want to help you but I’m confused

Describe what it means to view something from a frame of reference.Give an example to illustrate your explanation.

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like just try and try you gut it just trust me I'm a Wuman and you a man

pls help the image is down below

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Answer:3 go to 2 and 4 go to 4 and 1 go 2 2 go to 1

Explanation:

You used a telescope and other mathematics to discover that Jupiter is 5. 20 au from the sun. Use the equation to find its orbital period. Round to the nearest tenth of a year. Jupiter’s Orbit: years.

Answers

11.9

The second one is 9.55

Hope I helped :)

what is the rotational kinetic energy of the earth? assume the earth is a uniform sphere. data for the earth can be found inside the back cover of the book.

Answers

The rotational kinetic energy of the earth is 2.587 × 10²⁹ J

The rotational kinetic energy of the earth is given by K = 1/2Iω² where I = rotational inertia of earth = 2MR²/5 where M = mass of earth = 5.972 1× 0²⁴ kg and R = radius of earth = 6.4 × 10⁶ m. ω = angular speed of earth = 2π/T where T = period of earth = 24 hours = 24 × 60 ×  60 = 86400 s = 8.64 × 10⁴ s

So, K = 1/2Iω²  

K = 1/2 × 2MR²/5 × (2π/T)²  

K = 4π²MR²/5T²  

Substituting the values of the variables into the equation, we have

K = 4π²MR²/5T²

K = 4π² × 5.972 × 10²⁴ kg × (6.4 × 10⁶ m)²/[5(8.64 × 10⁴ s)²]  

K = 4π² × 5.972 × 10²⁴ kg × 40.96 × 10¹² m²/[5(74.6496 × 10⁸ s)²]  

K = 4π² × 244.61312 × 10³⁶ kgm²/373.248 × 10⁸ s²  

K = 9656.93890286 × 10³⁶ kgm²/373.248 × 10⁸ s²  

K = 25.87 × 10²⁸ kgm²/s²

K = 2.587 × 10²⁹ J

So, the rotational kinetic energy of the earth is 2.587 × 10²⁹ J

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Could someone please help me

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Answer:

the size of the shadow will be smaller due to smaller hands

Solve the science problem

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Answer:

What is the problem I cant help unless you have the problem.

Explanation:

Answer:

what is the science problem??

A race car traveling at 10 meters per second accelerates at a rate of 1.5 meters per second squared while travelling a distance of 600 meters. The final speed of the race car is approximately

Answers

Answer: 44m/s

Explanation:

How does alpha particles transfer energy to their surroundings?

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Answer :

A Alpha Radiation. As charged particles, such as alpha particles, move through material, energy is transferred from the radiation to the atoms or molecules that make up the material. The major energy-loss mechanisms are electronic excitation and ionization.

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A 400g ball moving toward the east at 3.7m/s suddenly collides head-on with a 200g ball sitting at rest. Determine the velocity of the first ball just after collision

Answers

The final velocity of the first ball after the collision is 1.167 m/s to the west.

The given parameters;

mass of the moving ball, m₁ = 400 g = 0.4 kgvelocity of the moving ball, u₁ = 3.7 m/smass of the ball at rest, m₂ = 200 g = 0.2 kg

Let the velocity of the first ball after collision = v₁

Let the velocity of the ball at rest after collision = v₂

Apply the principle of conservation of linear momentum;

[tex]m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2\\\\0.4(3.7)+ 0.2(0) = 0.4(-v_1) + 0.2v_2\\\\1.48 = -0.4v_1 + 0.2v_2[/tex]

Apply one-directional velocity formula;

[tex]u_1 + v_1 = u_2 + v_2\\\\3.7 - v_1 = 0 + v_2\\\\v_2 = 3.7 -v_1[/tex]

substitute the value of v₂ into the above equation;

[tex]1.48 = -0.4v_1 \ + \ 0.2(3.7 -v_1)\\\\1.48 = -0.4v_1 + 0.74 - 0.2v_1\\\\0.74 = -0.6v_1\\\\v_1 = \frac{-0.74}{0.6} \\\\v_1 = -1.167 \ m/s[/tex]

[tex]v_2 = 3.7 + 1.167\\\\v_2 = 4.867 \ m/s[/tex]

Thus, the final velocity of the first ball after the collision is 1.167 m/s to the west.

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A chemical lab isolates a gaseous element from the atmosphere that does not form chemical compounds. In which group of the periodic table is this element most likely found?

A. 18

B. 17

C. 1

D. 2​

Answers

Answer:

A- 18

Explanation:

It wont let me explain how

if temperature is constant, the relationship between pressure and volume is

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Answer: inversely proportional

Explanation:

Which event demonstrates electromagnetic waves transferring energy?.

Answers

Answer:

Radiation is the transfer of heat energy through space by electromagnetic radiation.

Explanation:

An object is thrown upwards with a velocity of 15 m/s. How long will the ball take to reach it’s starting point ?

Answers

Answer:

about 2s or 3s,

Explanation:

15 m/s - 9.8 m/s = 5.2 m/s (1 sec)

5.2 m/s - 9.8 m/s = -4.6 m/s (2 sec)

Trong chân không khi hai điện tích cách nhau lần lượt là d và d+10cm thì lực tương tác điện giữa chúng có độ lớn tương ứng là 2.0-6 N và 5.10-7 N tính giá trị của d

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Answer:

H2O is also known as for water

why does an elliptical galaxy look like one giant star

Answers

Explanation: An Elliptical galaxy looks like one giant star because the stars in the elliptical galaxy are often close together, making the center seem to be one giant star.

Hope this helps

You receive a generic email notification about an issue with the delivery of a recent order. You’re instructed to click on a link included in the email for further information about the order. When you click, it opens a webpage which asks for your account username and password before you can view the information. Which of the following is the biggest red flag in this scenario?
A. There is an issue while delivering your order.
B. The email you received was a generic notification.
C. The information about the delivery problems is not contained in the email.
D. Your username and password are required to view the information.

Answers

Answer:     C. The information about the delivery problems is not contained in the email.

Explanation: please give brainliest

9. A car of 1200 kg is rolling down a hill. When the car reaches a momentum of 7800 kg
m/s, what is its velocity?

Answers

Answer:

V = p/m = 7800/1200 = 6.5m/s

Explanation:

Is the daughter or the science teacher correct? And why?

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Answer:

The daughter. I can't really explain but practically, it happens as the daughter has stated.

how to find total internal reflection

Answers

(c) Total internal reflection occurs

when the incident angle is greater than the critical angle.

n1 sin θ1 = n2 sin θ2. n1 sin θ1 = n2.

hope it helps

transivity, reflexivity, and identity refer to what kind of reasoning?

Answers

Deductive reasoning

Deductive reasoning. Deductive reasoning implies the use of a given set of facts or data to deduce other facts, by reasoning logically. It rearranges information that is already known into new statements or truths. Hence transitivity, reflexivity, and identity refer to it and are necessary elements.

What are deductive reasoning and examples?

Deductive reasoning is a type of deduction used in science and in life. It is when you take two true statements, or premises, to form a conclusion. For example, A is equal to B. B is also equal to C. Given those two statements, you can conclude A is equal to C using deductive reasoning.

Learn more about deductive reasoning here: brainly.com/question/860494

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