First slide

Vectors

Question

What is the angle between P and the resultant of (P + Q) and (P $-$ Q)?

Easy

A

Zero
B

$\tan^{- 1} (P / Q)$
C

$\tan^{- 1} (Q / P)$
D

$\tan^{- 1} (P - Q) / (P + Q)$

Solution

Resultant of (P+ Q) and (P $-$ Q) is P + Q + P $-$ Q or 2P
which is parallel to P.
So, angle between P and 2P will be zero.

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