JEE Main 2023 (10 Apr, Shift 1) Maths Q16: Cross Product

Question

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

-\hat{i}-2\hat{j}+3\hat{k}

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

-2\hat{i}+\hat{j}-3\hat{k}

,

2\hat{i}+4\hat{j}-2\hat{k}

and

-4\hat{i}+2\hat{j}-\hat{k}

respectively, then the projection of the vector

\overrightarrow{OP}

on a vector perpendicular to the vectors

\overrightarrow{AB}

and

\overrightarrow{AC}

is

Official answer

Option 3

NTA final key.

Accepted Answer

Option 3: $3$

Answer

$\frac{7}{3}$

Answer

$\frac{8}{3}$

Answer

$3$

Answer

$\frac{10}{3}$

JEE Main 10 April 2023, Shift 1, Maths Q16