JEE PYQ: Vector Algebra Question 33
Question 33 - 2019 (09 Apr Shift 1)
Let $\vec{\alpha} = 3\hat{i} + \hat{j}$ and $\vec{\beta} = 2\hat{i} - \hat{j} + 3\hat{k}$. If $\vec{\beta} = \vec{\beta}_1 - \vec{\beta}_2$, where $\vec{\beta}_1$ is parallel to $\vec{\alpha}$ and $\vec{\beta}_2$ is perpendicular to $\vec{\alpha}$, then $\vec{\beta}_1 \times \vec{\beta}_2$ is equal to:
(1) $-3\hat{i} + 9\hat{j} + 5\hat{k}$
(2) $3\hat{i} - 9\hat{j} - 5\hat{k}$
(3) $\frac{1}{2}(-3\hat{i} + 9\hat{j} + 5\hat{k})$
(4) $\frac{1}{2}(3\hat{i} - 9\hat{j} + 5\hat{k})$
BETA
