   Chapter 11, Problem 23RE

Chapter
Section
Textbook Problem

# Finding the angle Between Two Vectors In exercises 21-24, find the angle between the vector (a) in radians and (b) in degrees. u = 〈 10 , − 5 , 15 〉 ,             v = 〈 − 2 , 1 , − 3 〉

(a)

To determine

To calculate: The angle in radians between the two vectors, u=10,5,15 and v=2,1,3.

Explanation

Given:

The vectors are u=10,5,15 and v=2,1,3.

Formula used:

Angle between two vectors, u and v is given by,

cosθ=uvuv

Calculation:

Consider the two provided vectors,

u=10,5,15

And,

v=2,1,3

The magnitude of first vector is,

u=(10)2+(5)2+(15)2=100+25+225

(b)

To determine

To calculate: The angle in degrees between the two vectors, u=10,5,15 and v=2,1,3.

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