   Chapter 11.3, Problem 16E

Chapter
Section
Textbook Problem

# Finding the Angle Between Two Vectors In Exercises 11–18, find the angle θ between the vectors (a) in radians and (b) in degrees. u = 2 i − 3 j + k ,     v = i − 2 j + k

(a)

To determine

To calculate: The angle θ between the vectors u=2i3j+kandv=i2j+k in radians.

Explanation

Given:

The vectors are u=2i3j+kandv=i2j+k.

Formula used:

The dot product of vectors u and v is given as:

uv=uvcos(θ)cos(θ)=uvuvθ=arccos(uvuv)

Where the vector u=uu and v=vv and θ is the angle between the vectors uand v

(b)

To determine

To calculate: The angle θ between the vectors u=2i3j+kandv=i2j+k in degrees.

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