Question

The vectors A and B are such that lA+Bl=lA-Bl then the angle between the two vectors will be

Easy

Solution

Given that lA+Bl=lA-BI
$∴$ A² + B² + 2A Bcos $θ$ = A² + B² -2 ABcos $θ$
or 4ABcos $θ$ =0 or cos $θ$ =0,
$θ$ = 90°

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