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Vector Algebra question

2022 · 28 Jun · Shift 2 · Q39

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JEE Main
Mathematics
Vector Algebra
2022 · 28 Jun · Shift 2 · Q39

Vector Algebra question

2022 · 28 Jun · Shift 2 · Q39

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\overrightarrow a

be a vector which is perpendicular to the vector

3\widehat i + {1 \over 2}\widehat j + 2\widehat k

. If

\overrightarrow a \times \left( {2\widehat i + \widehat k} \right) = 2\widehat i - 13\widehat j - 4\widehat k

, then the projection of the vector

\overrightarrow a

on the vector

2\widehat i + 2\widehat j + \widehat k

is :

A
${1 \over 3}$
B
1
C
${5 \over 3}$
D
${7 \over 3}$

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