Let three vectors `vec(a), vec(b)` and `vec(c )` be such that `vec(a) xx vec(b) = vec(c), vec(b) xx vec(c) = vec(a)` and `|vec(a)| = 2`. Then which one of the following is not true ?

Options

A. `vec(a) xx ((vec(b) + vec(c)) xx (vec(b) xx vec(c))) = vec(0)`
B. Projection of `vec(a)` on `(vec(b) xx vec(c))` is 2
C. `[[vec(a),vec(b),vec(c)]] + [[vec(c),vec(a),vec(b)]] = 8`
D. `|3vec(a) + vec(b) - 2vec(c)|^(2) = 51`