Answer Happy

a) Explain why it is not possible for • ( • ) to equal ( • ) • . (This means that the dotproduct is not associative.)b) Verify using an example that + ( • ) is not equal to ( + ) • (+ ) . (This means thataddition does not distribute over the dot product.) Explainthe problem that arises.Use a specific example to prove that the cross product is alsonot associative. That is, use three specific vectors in 3-space toshow that × ( × ) is not equal to ( × ) × .Verify using a specific example that ( + ) × ( – ) = 2( × ). Expand to the generalcase to prove that the result is always true.