The scalar triple product of three vectors A, B, and C is denoted [A, B, C] and defined by [A, B, C] | congruent | A·(BxC) | = | B·(CxA) | = | C·(AxB) | = | det(A B C) | = | left bracketing bar A_1 | A_2 | A_3 B_1 | B_2 | B_3 C_1 | C_2 | C_3 right bracketing bar