Search any question & find its solution
Question:
Answered & Verified by Expert
If the vectors $\mathbf{a}$ and $\mathbf{b}$ are mutually perpendicular, then $\mathbf{a} \times\{\mathbf{a} \times\{\mathbf{a} \times(\mathbf{a} \times \mathbf{b})\}\}$ is equal to
Options:
Solution:
1235 Upvotes
Verified Answer
The correct answer is:
$|\mathbf{a}|^4 \mathbf{b}$
$\quad \mathbf{a} \times[\mathbf{a} \times\{\mathbf{a} \times(\mathbf{a} \times \mathbf{b})\}]=\mathbf{a} \times[\mathbf{a} \times\{\mathbf{a} \times \mathbf{a b} \hat{\mathbf{n}}\}]$
$=\mathbf{a} \times\left[\mathbf{a} \times a^2 \mathbf{b}\right]=\mathbf{a} \times a^3 b \hat{\mathbf{n}}=|\mathbf{a}|^4 \mathbf{b}$.
$=\mathbf{a} \times\left[\mathbf{a} \times a^2 \mathbf{b}\right]=\mathbf{a} \times a^3 b \hat{\mathbf{n}}=|\mathbf{a}|^4 \mathbf{b}$.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.