The vector a = -i + 2j + k is rotated through a right angle, pass… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 25 January, Shift 1Basics of Vectors

The vector $\vec{a} = -\hat{i} + 2\hat{j} + \hat{k}$ is rotated through a right angle, passing through the $y$ -axis in its way, and the resulting vector is $\vec{b}$ . Then the projection of $3\vec{a} + \sqrt{2}\vec{b}$ on $\vec{c} = 5\hat{i} + 4\hat{j} + 3\hat{k}$ is:

A
$3\sqrt{2}$
B
$1$
C
$\sqrt{6}$
D
$2\sqrt{3}$

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