   Chapter 11, Problem 24RE

Chapter
Section
Textbook Problem

# Finding the Angle Between Two Vectors In Exercises 23 and 24, find the angle θ between the vectors (a) in radians and (b) in degrees. u = 〈 1 , 0 , − 3 〉 ,     v = 〈 2 , − 2 , 1 〉

(a)

To determine

To calculate: For given vectors are:

u=1,0,3v=2,2,1

Find the angle θ between the provided vectors in radians.

Explanation

Given: The vectors are:

u=1,0,3v=2,2,1

Formula used:

If θ is the angle between two nonzero vectors u and v. Then,

cosθ=uvuv ;(0θπ)

Calculation:

The angle between two nonzero vectors u and v is:

Given is

u=1,0,3v=2,2,1

cosθ=

(b)

To determine

To calculate: For given vectors are:

u=1,0,3v=2,2,1

Find the angle θ between the vectorsin degree.

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