First slide

Scalars and Vectors

Question

What is the angle between $\vec{P}$ and the resultant of $(\vec{P} + \vec{Q}) and (\vec{P} - \vec{Q})$

Easy

A

Zero
B

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

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

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

Solution

$\begin{array}{l} Resultant \vec{R} = \vec{P} + \vec{Q} + \vec{P} - \vec{Q} = 2 \vec{P} \\ The angle between \vec{P} and 2 \vec{P} is zero. \end{array}$

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