If (\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = \math... | MATH - VECTOR OR CROSS PRODUCT OF TWO VECTORS AND ITS APPLICATIONS | SolveeIt

Question

If $\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = \mathbf{0},$ then

$|\mathbf{a}| = |\mathbf{b}|.|\mathbf{c}| = 1$

$\mathbf{b}||\mathbf{c}$

$\mathbf{a}||\mathbf{b}$

$\mathbf{b}\bot\mathbf{c}$

Answer

$\mathbf{b}||\mathbf{c}$

Explanation

Solution

$\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = \mathbf{0} \Rightarrow \mathbf{a}||(\mathbf{b} \times \mathbf{c})$ or $\mathbf{b} \times \mathbf{c} = \mathbf{0}$

i.e., $\mathbf{b}||\mathbf{c}$ or $\mathbf{a} = \mathbf{0}.$

Question: If \(\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) = \mathbf{0},\) then...

Solution