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Question

If a and b are unit vectors and θ is the angle between them, then ∣ ∣ab2∣ ∣ is

A
sinθ2
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B
sinθ
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C
2sinθ
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D
sin2θ
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Solution

The correct option is A sinθ2
We have ab2=a2+|b|22(a.b)
=1+12abcosθ=22cosθ=4sin2θ2
∣ ∣ab2∣ ∣2=sin2θ2∣ ∣ab2∣ ∣=sinθ2

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