JEE PYQ: Vector Algebra Question 42
Question 42 - 2019 (10 Jan Shift 1)
Let $\vec{a} = 2\hat{i} + \lambda_1 \hat{j} + 3\hat{k}$, $\vec{b} = 4\hat{i} + (3 - \lambda_2)\hat{j} + 6\hat{k}$ and $\vec{c} = 3\hat{i} + 6\hat{j} + (\lambda_3 - 1)\hat{k}$ be three vectors such that $\vec{b} = 2\vec{a}$ and $\vec{a}$ is perpendicular to $\vec{c}$. Then a possible value of $(\lambda_1, \lambda_2, \lambda_3)$ is:
(1) $(1, 3, 1)$
(2) $\left(-\frac{1}{2}, 4, 0\right)$
(3) $\left(\frac{1}{2}, 4, -2\right)$
(4) $(1, 5, 1)$
BETA
