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Question

Let α,β,γ be three unit vectors such that α.β=α.γ and the angle between β and γ is 30o. Then α is ?

A
2(β×γ)
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B
2(β×γ)
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C
±2(β×γ)
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D
(β×γ)
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Solution

The correct option is C ±2(β×γ)
Now, since α,β and γ are unit vectors, then |α|=|β|=|γ|=1
Now,
α=n(β×γ) where n is the unit vector along the direction of (β×γ)
1=|n|×1×1×sin30on=±2
Thus α=±(β×γ)

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