# Use the dot product to find the angle between the position vectors A and B.

### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607

Chapter
Section

### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 1, Problem 1.62P
Textbook Problem
305 views

## Use the dot product to find the angle between the position vectors A and B.

To determine

The value of angle between the position vectors A and B.

### Explanation of Solution

Given Information:

The formula for dot product is

AB=|A||B|cos(θ)A.B=AxBx+AyBycos(θ)=AxBx+AyBy|A||B|θ=cos1( A x B x + A y B y |A||B|)

Calculation:

So we have to find OC

|OC|= ( 14 )2+ ( 9 )2|OC|=16.64fttan500=ACOCAC=OCtan500AC=16.64(tan 400)AC=19.83ftOA=9i+14j+19

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