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Question: Answered & Verified by Expert
If $\mathbf{a} \times(\mathbf{b} \times \mathbf{c})=\mathbf{0}$, then
MathematicsVector AlgebraJEE Main
Options:
  • A $|\mathbf{a}|=|\mathbf{b}| .|\mathbf{c}|=1$
  • B $\mathbf{b} \| \mathbf{c}$
  • C $\mathbf{a} \| \mathbf{b}$
  • D $\mathbf{b} \perp \mathbf{c}$
Solution:
1468 Upvotes Verified Answer
The correct answer is: $\mathbf{b} \| \mathbf{c}$
$\quad \mathbf{a} \times(\mathbf{b} \times \mathbf{c})=\mathbf{0} \Rightarrow \mathbf{a} \|(\mathbf{b} \times \mathbf{c})$ or $\mathbf{b} \times \mathbf{c}=\mathbf{0}$ i.e., $\mathbf{b} \| \mathbf{c}$ or $\mathbf{a}=\mathbf{0}$.

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