If A×B=B×A, then the angle between A and B is
a) 180°
b) 90°
c) 60°
d) 45°
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Question :
If A×B=B×A, then the angle between A and B is
Options :
a) 180°
b) 90°
c) 60°
d) 45°
Solution :
A×B = B×A
We know that A×B = ABsin@
we know that
Cross product is anti-commutative
A × B = - B × A
AB sin@ = BA sin( - @ )
sin@ = -sin@
2sin@ = 0
sin@ = 0
@ = 180
answer :@ = π option a
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