Let a = i + 2j + k and b = 3(i - j + k). Let c be the vector such… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Cross Product

Let $\vec{a} = \hat{i} + 2\hat{j} + \hat{k}$ and $\vec{b} = 3(\hat{i} - \hat{j} + \hat{k})$ . Let $\vec{c}$ be the vector such that $\vec{a} \times \vec{c} = \vec{b}$ and $\vec{a} \cdot \vec{c} = 3$ . Then $\vec{a} \cdot \left(\left(\vec{c} \times \vec{b}\right) - \vec{b} - \vec{c}\right)$ is equal to:

A
$32$
B
$24$
C
$20$
D
$36$

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