Question
Fri February 20, 2009 By:

simplify [ a-b,b-c,c-a]

Expert Reply
Fri February 20, 2009

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

= (a-b) . ( b x c - b x a -c x c + c x a )

= (a-b) .( bxc + a x b +c x a)

=a.(b x c) +a.(ax b) + a. (c x a) - b. ( b x c) - b.(a x b) -b.(c x a)

= [ a b c] + 0 + 0 - 0 - 0 - [b c a]

=0

since [ a b c] = [b c a]

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