First slide

Vectors

Question

The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two
forces. The angle between the two forces is

Easy

A

120⁰
B

135⁰
C

90⁰
D

150⁰

Solution

We have, $\tan 90 ° = \frac{2 A \sin θ}{A + 2 A \cos θ} = \infty$
$∴ A + 2 A \cos θ = 0$
or $\cos θ = - \frac{1}{2} or θ = 120 °$

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