JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let $α = 3 i + \hat{j}$ and $B = 2 \hat{i} - \hat{j} + 3 \hat{k}$ If $β = β_{1} - β_{2}$ , where $β_{1}$ is parallel to $α$ and $β_{2}$ is perpendicular to $α$ then $β_{1} \times β_{2}$ is equal to

A
$\frac{1}{2} (3 \hat{i} - 9 \hat{j} + 5 \hat{k})$
B
$\frac{1}{2} (- 3 \hat{i} + 9 \hat{j} + 5 \hat{k})$
C
$- 3 \hat{i} + 9 \hat{j} + 5 \hat{k}$
D
$3 \hat{i} - 9 \hat{j} - 5 \hat{k}$

Solution

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