If the direction ratios of a line are proportional to 1, −3, 2, then its direction cosines are

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1/$\sqrt$(14), - 3/$\sqrt$(14), 2/$\sqrt$(14) The direction ratios of the line are proportional to 1, -3, 2 . $\therefore$ The direction cosines of the line are \frac{1}{\sqrt{1^2 + \left( - 3 \right)^2 + 2^2}}, \frac{- 3}{\sqrt{1^2 + \left( - 3 \right)^2 + 2^2}}, \frac{2}{\sqrt{1^2 + \left( - 3 \right)^2 + 2^2}} = 1/$\sqrt$(14), - 3/$\sqrt$(14), 2/$\sqrt$(14)

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