Let a, b, c be three distinct real numbers, none equal to one. If… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 12 April, Shift 1Cross Product

Let $a, b, c$ be three distinct real numbers, none equal to one. If the vectors $a \hat{i} + \hat{j} + \hat{k}, \, \hat{i} + b\hat{j} + \hat{k}, \, \hat{i} + \hat{j} + c \hat{k}$ are coplanar, then $\frac{1}{1 - a} + \frac{1}{1 - b} + \frac{1}{1 - c}$ is equal to:

A
$1$
B
$-1$
C
$-2$
D
$2$

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