# For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA .

### 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 1.67P
Textbook Problem
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## For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA.

To determine

The orthogonal component P×Q

### Explanation of Solution

The position of the given vectors is get by

OQ=( (4) 2 + ( 3 ) 2 )cos 600OQ=50.5OQ=10m

Z-coordinate of P and Q is =10cos30°=8.660m

OQ vector =4i+3j+8.66k

OP =4i+8.66k

Then find the orthogonal component of P×Q

Suppose if we consider project B onto A the projected length, Bcosθ is called the orthogonal component of B in direction of A.

Here, the direction is consider in OA.

P×Q=Acosθ=A.λcAcosθ=A.|C|| C ¯|Acosθ=(4i+8

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