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Questions  

Two vectors A and B are such that  A + B = C and  A 2 + B2 = C2. If θ is the angle between A and B, then the value of θ is

a
π
b
2π3
c
0
d
π2

detailed solution

Correct option is D

Here,  A+B = C and A2 + B2 = C2.∴       (A+ B)2 = (C)2IAI2 + IBI2 + 2|AI IBI cos θ = ICI2I C2 I+ 2 |AI IBI cos θ = I C I2∴     2|AI I BI cos θ = 0⇒   cos θ = 0⇒  θ=π2

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