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Vector Algebra question

2023 · 25 Jan · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 25 Jan · Shift 1 · Q24

Vector Algebra question

2023 · 25 Jan · Shift 1 · Q24

JEE MainMathematicsVector AlgebraMCQ+4 / −1

The vector

\overrightarrow a = - \widehat i + 2\widehat j + \widehat k

is rotated through a right angle, passing through the y-axis in its way and the resulting vector is

\overrightarrow b

. Then the projection of

3\overrightarrow a + \sqrt 2 \overrightarrow b

on

\overrightarrow c = 5\widehat i + 4\widehat j + 3\widehat k

is :

A
$\sqrt6$
B
2 $\sqrt3$
C
1
D
3 $\sqrt2$

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