Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated

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Textbook Question
Chapter 2, Problem 2.1P

Given P(4, 2, 1) and A PQ =2a x +4a y +6a z , find the point Q.

To determine

The coordinates ofpoint Q .

The coordinates ofpoint Q is (6,6,7) .

### Explanation of Solution

Given:

The coordinates of point P is (4,2,1) .

Vector APQ is 2ax+4ay+6az .

Calculation:

The point Q is (Qx,Qy,Qz) .

The vector APQ can be written as,

APQ=(QxPx)ax+(QyPy)ay+(QzPz)az

Compare the given vector APQ with the above vector.

QxPx=2Qx4=2Qx=6

The value of Qy is calculated as,

QyPy=4Qy2=4Qy=6

The value of Qz is calculated as,

QzPz=6Qz1=6Qz=7

Therefore, the point Q is (6,6,7) .

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