a,b and c are vectors . If a×b =c then find out the correct one.
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Explanation:
Option d. C is perpendicular to (AxB) ... is wrong statement.. so.. this is the right answer ..
bcoz ...AxB gives a Victor which is perpendicular to both the vectors ( A vector and B vector)
C is parallel to AxB ...
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Concept
cross product: the vector product of two non zero vectors a and b denoted
A × B = |A| |B| sinß n
where ß is the angle between two vectors and
n is a unit vector perpendicular to both a and b
solution
vector A cross. vector B = vector C
it means means vector c is perpendicular to both A and B vector.
(vector A + vector B ). vector C
by distributivity of scalar product over addition
= A . C + B.C
= 0+0
= 0
[ since vector C is perpendicular to both vectors A and B i.e
cos90= 0]
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