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Question

If u=ab,v=a+b, and |a|=|b|=2, then |u×v| is?

A
216(ab)2
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B
24(ab)2
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C
16(ab2
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D
4(ab)2
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Solution

The correct option is A 216(ab)2
|u×v|=|(ab)×(a+b)|
|a×bb×a|
2|a×b|=2|a||b|sinθ
sinθ=1cos2θ
cosθ=a.b|a||b|
2|a|2|b|2(a.b)2
216(a.b)2

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