JEE PYQ: Vector Algebra Question 10
Question 10 - 2021 (18 Mar Shift 2)
Let $\vec{a}$ and $\vec{b}$ be two non-zero vectors perpendicular to each other and $|\vec{a}| = |\vec{b}|$. If $|\vec{a} \times \vec{b}| = |\vec{a}|$, then the angle between the vectors $(\vec{a} + \vec{b} + (\vec{a} \times \vec{b}))$ and $\vec{a}$ is equal to:
(1) $\sin^{-1}\left(\frac{1}{\sqrt{3}}\right)$
(2) $\cos^{-1}\left(\frac{1}{\sqrt{3}}\right)$
(3) $\cos^{-1}\left(\frac{1}{\sqrt{2}}\right)$
(4) $\sin^{-1}\left(\frac{1}{\sqrt{6}}\right)$
BETA
