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Mathematics Question on Vectors

Let and be three vectors. A vector in the plane of b and c whose projection on a is 23\sqrt{\frac{2}{3}} will be

A

2l→+3j→−3k→2\overrightarrow{l}+3\overrightarrow{j}-3\overrightarrow{k}

B

2l→+3j→−k→2\overrightarrow{l}+3\overrightarrow{j}-\overrightarrow{k}

C

−2l→−j→+5k→-2\overrightarrow{l}-\overrightarrow{j}+5\overrightarrow{k}

D

2l→+j→+5k→2\overrightarrow{l}+\overrightarrow{j}+5\overrightarrow{k}

Answer

−2l→−j→+5k→-2\overrightarrow{l}-\overrightarrow{j}+5\overrightarrow{k}

Explanation

Solution

The correct option is (C): −2l→−j→+5k→-2\overrightarrow{l}-\overrightarrow{j}+5\overrightarrow{k}