Let O be the origin and the position vector of the point P be -i^-2j^+3k. If the position vectors of the points A, B and C are -2i^+j^-3k, 2i^+4j^-2k and -4i^^+2j^-k respectively, then the projection of the vector OP→ on a vector perpendicular to the vectors AB→ and AC→ is

Question

Let

O

be the origin and the position vector of the point

P

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

. If the position vectors of the points

A, B

and

C

are

- 2 \hat{i} + \hat{j} - 3 k, 2 \hat{i} + 4 \hat{j} - 2 k

and

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

respectively, then the projection of the vector

\vec{O P}

on a vector perpendicular to the vectors

\vec{A B}

and

\vec{A C}

3

\frac{8}{3}

\frac{7}{3}

\frac{10}{3}

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