MHT CET20228 Aug 2022Evening ShiftMathematicsVector AlgebraActual

For non-zero vectors a , b , c ,|( a b ) c |=| a || b || c | holds and only if

Options

Ab c =0, c a =0
Bc a =0, a b =0
Ca b = b c = c a =0
Da b =0, b c =0

Correct answer

C. a b = b c = c a =0

Step-by-step solution

aligned & |( a b ) c | & =| a || b || c | & | a b || c | =| a || b || c | & | a || b | | c | =| a || b || c | & =1 and =1 & =90^ and =0^ & where is the angle between a and b and is the angle between c and & normal to the plane containing a and b & a b , b c , and c a & a b = b c = c a =0 aligned

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