Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $\overrightarrow{a}$ and $\overrightarrow{b}$ are two non-zero vectors, then a vector perpendicular to the vector $(\overrightarrow{b}.\overrightarrow{b})\,\overrightarrow{a}-(\overrightarrow{a}.\overrightarrow{b})\,\overrightarrow{b}$ is

Vector Algebra

Solution:

Let $\vec{c}=\left(\vec{b} . \vec{b}\right) \vec{a}-\left(\vec{b} . \vec{a}\right) \vec{b}=\vec{b} \times\left(\vec{a} \times \vec{b}\right)$
Since $\vec{b} . \vec{c}=0$
$\therefore \vec{b}$ is the reqd. vector.