JEE PYQ: Vector Algebra Question 27
Question 27 - 2020 (08 Jan Shift 1)
Let the volume of a parallelopiped whose coterminus edges are given by $\vec{u} = \hat{i} + \hat{j} + \lambda \hat{k}$, $\vec{v} = \hat{i} + \hat{j} + 3\hat{k}$ and $\vec{w} = 2\hat{i} + \hat{j} + \hat{k}$ be 1 cu. unit. If $\theta$ be the angle between the edges $\vec{u}$ and $\vec{w}$, then $\cos\theta$ can be:
(1) $\frac{7}{6\sqrt{6}}$
(2) $\frac{7}{6\sqrt{3}}$
(3) $\frac{5}{7}$
(4) $\frac{5}{3\sqrt{3}}$
BETA
