   Chapter 11, Problem 22RE

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 = 6 i + 2 j − 3 k ,             v = − i + 5 j

(a)

To determine

To calculate: The angle in radians between the two vectors, u=6i+2j3k and v=i+5j.

Explanation

Given:

The vectors are u=6i+2j3k and v=i+5j.

Formula used:

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

cosθ=uvuv

Calculation:

Consider the two provide vectors,

u=6i+2j3k

And,

v=i+5j

The magnitude of first vector is,

u=(6)2+(2)2+(3)2<

(b)

To determine

To calculate: The angle in degrees between the two vectors, u=6i+2j3k and v=i+5j.

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