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  4. If A -B = A × B then angle between A and B is

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Q. If $A -B = A \times\,B$ then angle between $A$ and $B$ is

AFMCAFMC 2012

Solution:

$A \cdot B = A \times B$
$A B \cos \theta =A B \sin \theta$
$\tan \theta =1$
$\tan \theta =\tan 45^{\circ}$
$\theta =45^{\circ}$