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Vector Algebra question

2023 · 24 Jan · Shift 2 · Q26

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PYQ Library
JEE Main
Mathematics
Vector Algebra
2023 · 24 Jan · Shift 2 · Q26

Vector Algebra question

2023 · 24 Jan · Shift 2 · Q26

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

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

and

\overrightarrow \beta = \widehat i + 2\widehat j - 4\widehat k

. Let

{\overrightarrow \beta _1}

be parallel to

\overrightarrow \alpha

and

{\overrightarrow \beta _2}

be perpendicular to

\overrightarrow \alpha

. If

\overrightarrow \beta = {\overrightarrow \beta _1} + {\overrightarrow \beta _2}

, then the value of

5{\overrightarrow \beta _2}\,.\left( {\widehat i + \widehat j + \widehat k} \right)

is :

A
9
B
7
C
6
D
11

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