Let O be the origin and the position vector of the point P be -i-2j+3k. If the position vectors of A, B, and C…

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 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 vector $\vec{OP}$ on a vector perpendicular to vectors $\vec{AB}$ and $\vec{AC}$ is:

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

Accepted Answer

D. $$3$$

Answer

A. $$\frac{10}{3}$$

Answer

B. $$\frac{8}{3}$$

Answer

C. $$\frac{7}{3}$$

Answer & step-by-step solution

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