The projections of a vector on the three coordinate

Question:

The projections of a vector on the three coordinate axis are $6,-3,2$ respectively. The direction cosines of the vector are :-

  1. $\frac{6}{7}, \frac{-3}{7}, \frac{2}{7}$

  2. $\frac{-6}{7}, \frac{-3}{7}, \frac{2}{7}$

  3. $6,-3,2$

  4. $\frac{6}{5}, \frac{-3}{5}, \frac{2}{5}$

Correct Option: 1

Solution:

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