JEE PYQ: Vector Algebra Question 25
Question 25 - 2020 (07 Jan Shift 1)
A vector $\vec{a} = \alpha \hat{i} + 2\hat{j} + \beta \hat{k}$ $(\alpha, \beta \in \mathbb{R})$ lies in the plane of the vectors, $\vec{b} = \hat{i} + \hat{j}$ and $\vec{c} = \hat{i} - \hat{j} + 4\hat{k}$. If $\vec{a}$ bisects the angle between $\vec{b}$ and $\vec{c}$, then:
(1) $\vec{a} \cdot \hat{i} + 3 = 0$
(2) $\vec{a} \cdot \hat{i} + 1 = 0$
(3) $\vec{a} \cdot \hat{k} + 2 = 0$
(4) $\vec{a} \cdot \hat{k} + 4 = 0$
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