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Question

Let a be a unit vector perpendicular to unit vectors b and c and if the angle between b and c be α then b×c is

A
cosαa
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B
cosecαa
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C
sinαa
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D
None of these
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Solution

The correct option is C sinαa
p×q=pqsinθ,θ being the angle between p and q.
Since b,c are unit vectors, the modulus becomes sinα.

Now that a vector is given by modulus times the direction, we have the answer as sinαa

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