Question

It is not true that the equality u x (v x w) = (u x v)...

It is not true that the equality u x (v x w) = (u x v) x w for all vectors.

1. Find explicit vector for u, v and w where this equality does not hold.

2. U, V and W are all nonzero vectors that satisfy the equality. Show that at least one of the conditions below holds:

a) v is orthogonal to u and w.

b) w is a scalar multiple of u.

You can possibly use a x (b x c) = (a . c)b - (a . b)c

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