   Chapter 11.3, Problem 14E

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 = 3 i + 2 j + k ,     v = 2 i − 3 j

(a)

To determine

To calculate: The angle θ between the vectors u=3i+2j+kandv=2i3j in radians.

Explanation

Given:

The provided vectors are u=3i+2j+kandv=2i3j.

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=3i+2j+kandv=2i3j in degrees.

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