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Q.

Two vectors of magnitude  3 and P are making an angle θ with each other. The resultant of two Vectors is 3 units and its direction is perpendicular to vector of magnitude 3 units  then 

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a

θ=150°

b

P=32

c

P=23

d

θ=135°

answer is B, C.

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Detailed Solution

Question Image

 

 

 

 

 

 

 

 

Pcosα=3              −−−(1)

Psinα=3                  −−−(2)

(2)(1)⇒tanα=3;  α=60°

∴θ=90°+α=150°

sub in (1) Pcos60°=3

∴P=23

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Two vectors of magnitude  3 and P are making an angle θ with each other. The resultant of two Vectors is 3 units and its direction is perpendicular to vector of magnitude 3 units  then