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Questions  

a and b are two given vectors. On these vectors as adjacent sides, a parallelogram  is constructed. The vector which is the altitude of the parallelogram and perpendicular  to a is given by: 

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a
a→ ⋅ b→|a→|2   a→ − b→
b
a→ ⋅ b→|b→|2   b→ − a→
c
b→ × (a→ × b→)|b→|2
d
a→ ⋅ b→|a→|2  a→ + b→

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detailed solution

Correct option is A

The altitude required is BN→BN→=ON→−OB→= projection of OB→ on ON→−b→=   (b→ ⋅ a∧) a∧ − b→=  b→ ⋅ a→|a→| a→|a→|  − b→ =  (b→ ⋅a→) a→|a→|2  − b→


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