Can ANYBODY prove this maths equation, involving vectors??

show that:


(a+b).[(b+c)x(c+a)]=2a.(bxc)











thank you xxxx

Can ANYBODY prove this maths equation, involving vectors??
Let [a b c] = a. (b x c)





(a+b).[(b+c)x(c+a)] = [a b c] + [a b a] + [a c c] + [a c a] + [b b c] + [b b a] + [b c c] + [b c a]


= [a b c] + [b c a]


= [a b c] + [a b c]


= 2 [a b c]
Reply:whats a vector