Question

If vector a = vector(2i + 3j - k), vector b = vector(3i + 5j + 2k), vector c = vector(-i - 2j + 3k), verify that 

(i) vector((a x b) x c) = vector((a.c)b - (b.c)a

(ii) vector(a x (b x c)) = vector((a.c)b - (a.b)c)

Answer 1

Given 

(i) vector((a x b) x c) = vector((a.c)b - (b.c)a

(ii) vector(a x (b x c)) = vector((a.c)b - (a.b)c)

Comments

Too long method.............