Use Maple to show that, for these particular vectors,

where is the vector cross product.

I was able to do this but for the second part of the question it asks:

Would I just set vector as , as etc and work through to get a big equation in the form of in the end, or is there a more elegant way?Using pen-and-paper, show that equation (z) holds for ALL vectors a, b and c

Thanks in advance

Craig