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Question

If e1 & e2 are two unit vectors and θ is the angle between them, then sin(θ2) is

A
12|e1+e2|
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B
12|e1e2|
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C
e1.e22
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D
|e1×e2|2|e1||e2|
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Solution

The correct option is B 12|e1e2|
sin(θ2)
=124sin2θ2
=122(1cosθ)
=121+12.cosθ
=12e12+e222|e1||e2|cosθ=12(e1e2)2
=12|e1e2|

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