Question

If a, b, c are any vectors, then the true statement is

• A. $\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = (\mathbf{a} \times \mathbf{b}) \times \mathbf{c}$
• B. $\mathbf{a} \times \mathbf{b} = \mathbf{b} \times \mathbf{a}$
• C. $\mathbf{a}.(\mathbf{b} \times \mathbf{c}) = \mathbf{a}.\mathbf{b} \times \mathbf{a}.\mathbf{c}$
• D. $\mathbf{a}.(\mathbf{b} - \mathbf{c}) = \mathbf{a}.\mathbf{b} - \mathbf{a}.\mathbf{c}$

Answer 1

Answer: (D)

$\mathbf{a}.(\mathbf{b} - \mathbf{c}) = \mathbf{a}.\mathbf{b} - \mathbf{a}.\mathbf{c}$

Answer 2

It is obvious.