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Question

Two vectors A and B as such that A+B=AB. Then

A
A.B=0
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B
A×B=0
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C
A=0
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D
B=0
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Solution

The correct option is A A.B=0
GivenA+B=ABA+B=ABA+B2=AB2A2+B2+2A.B=A2+B22A.B4A.B=0A.B=0

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