Question

For three vectors u, v, w which of the following expressions is not equal to any of the remaining three

• A. $\mathbf{u}.(\mathbf{v} \times \mathbf{w})$
• B. $(\mathbf{v} \times \mathbf{w}).\mathbf{u}$
• C. $\mathbf{v}.(\mathbf{u} \times \mathbf{w})$
• D. $(\mathbf{u} \times \mathbf{v}).\mathbf{w}$

Answer 1

Answer: (C)

$\mathbf{v}.(\mathbf{u} \times \mathbf{w})$

Answer 2

options (1), (2) and (4) = $\lbrack\mathbf{u},\mathbf{v},\mathbf{w}\rbrack$ while option (3)

$= - \lbrack\mathbf{u},\mathbf{v},\mathbf{w}\rbrack$.