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Question

Mathematics Question on Addition of Vectors

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

A

73\frac{7}{3}

B

83\frac{8}{3}

C

3

D

103\frac{10}{3}

Answer

3

Explanation

Solution

The Correct Option is (C):3