First slide

Vectors

Question

For the resultant of two vectors to be maximum, what must be the angle between them?

Moderate

A

0^o
B

60^o
C

90°
D

180°

Solution

$R = |\overset{⇀}{P} + \overset{⇀}{Q}| = \sqrt{P^{2} + Q^{2} + 2 P Q \cos θ}$
Hence for maximum $R, \cos θ = 1 \Rightarrow θ = 0 °$ .

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