Please refer to the red box. Why did they square the values for A and B?Why is it raised to 1/2? Use the dot product to find the size of the angle 0.5.From figureyA=-3i+4jA4-B=12i+5jA= (9+16)1/2 = 5B= (144+25)1/2-13A•B=ABcos@ ( @is the angle between A and B)(-3i+4j)•(12i+5j)=5×13 cos@-36+20=65cos@-16=65 cos@Cos@=-16/65@= cos(-16/65)@=104.3°

To answer this question we have to be aware of dot product and magnitude formula

Answered: Please refer to the red box. Why did…

Science

Physics

Please refer to the red box. Why did they square the values for A and B? Why is it raised to 1/2?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 13PQ

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Concept explainers

Stellar evolution

We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.

Red Shift

It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.

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Please refer to the red box.

Why did they square the values for A and B?
Why is it raised to 1/2?

Use the dot product to find the size of the angle 0.
5.From figure
y
A=-3i+4j
A
4-
B=12i+5j
A= (9+16)1/2 = 5
B= (144+25)1/2-13
A•B=ABcos@ ( @is the angle between A and B)
(-3i+4j)•(12i+5j)=5×13 cos@
-36+20=65cos@
-16=65 cos@
Cos@=-16/65
@= cos(-16/65)
@=104.3°

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