If the four points, whose position vectors are 3i - 4j + 2k, i +… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 25 January, Shift 2Cross Product

If the four points, whose position vectors are $3\hat{i} - 4\hat{j} + 2\hat{k}$ , $\hat{i} + 2\hat{j} - \hat{k}$ , $-2\hat{i} - \hat{j} + 3\hat{k}$ , and $5\hat{i} - 2\alpha\hat{j} + 4\hat{k}$ are coplanar, then $\alpha$ is equal to:

A
$\dfrac{73}{17}$
B
$-\dfrac{107}{17}$
C
$-\dfrac{73}{17}$
D
$\dfrac{107}{17}$

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