why a•(b×a) give zero value?

Reason:-

We know in a•(b×a),b×a vector is perpendicular to both a vector & b vector.so angle between a vector & b×a vector is 90°.(Angle,x=90°)

I.e a•(b×a)=|a||b|cosx=|a||b|cos90°

I.e a•(b×a)=0 (because cos90°=0).

It is the answer to the question why a•(b×a ) or b•(c×b) or c•(a×c) all are give zero value.

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