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Vector Algebra question

2023 · 10 Apr · Shift 1 · Q27

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JEE Main
Mathematics
Vector Algebra
2023 · 10 Apr · Shift 1 · Q27

Vector Algebra question

2023 · 10 Apr · Shift 1 · Q27

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let O be the origin and the position vector of the point P be

- \widehat i - 2\widehat j + 3\widehat k

. If the position vectors of the points A, B and C are

- 2\widehat i + \widehat j - 3\widehat k,2\widehat i + 4\widehat j - 2\widehat k

and

- 4\widehat i + 2\widehat j - \widehat k

respectively, then the projection of the vector

\overrightarrow {OP}

on a vector perpendicular to the vectors

\overrightarrow {AB}

and

\overrightarrow {AC}

is :

A
$\frac{7}{3}$
B
3
C
$\frac{10}{3}$
D
$\frac{8}{3}$

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