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Question

If A×B=B×A, then the angle between A and B is

A
π
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B
π3
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C
π2
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D
π4
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Solution

The correct option is A π
(A×B)=(B×A)
(A×B)(B×A)=0
[(B×A)=(A×B)]

(A×B)+(A×B)=0

2(A×B)=0
2(A×B)=0
2ABsinθ=0
[A=A0,B=B0]
sinθ=0
θ=0 or π
Hence option (a) is correct.

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