The sum of all values of α, for which the points whose position v… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 6 April, Shift 2Cross Product

The sum of all values of $\alpha$ , for which the points whose position vectors are $\hat{i} - 2\hat{j} + 3\hat{k}$ , $2\hat{i} - 3\hat{j} + 4\hat{k}$ , $(\alpha + 1)\hat{i} + 2\hat{k}$ and $9\hat{i} + (\alpha - 8)\hat{j} + 6\hat{k}$ are coplanar, is equal to:

A
$-2$
B
$2$
C
$6$
D
$4$

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