Prove and explain in detail that -
Vector A.(vectorA x VectorB) = 0
Simple. The cross product of A and B gives a vector , say C, that is perpendicular to both A as well as B.
The Dot product of C with A is bound to be zero since the dot product is ACcos90=0
The Dot product of C with A is bound to be zero since the dot product is ACcos90=0