The projections of a vector on the three coordinate axes are 6,-3,2 respectively.

Question

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

Accepted Answer

Magnitude $=\sqrt{36+9+4}=\sqrt{49}=7$.
$$\text{Direction cosines}=\left(\frac67,-\frac37,\frac27\right).$$

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