The direction cosines of a line equally inclined with the co-ordinate axes are Option 1: (1,1,1) Option 2: (1/3, 1/3, 1/3) Option 3: (± 1sqrt(3), ± 1sqrt(3), ± 1sqrt(3)) Option 4: (1sqrt(2), 1sqrt(2), 1sqrt(2))

The answer is '(± 1sqrt(3), ± 1sqrt(3), ± 1sqrt(3))'. View full solution:

Geometry > 3D Geometry

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The direction cosines of a line equally inclined with the co-ordinate axes are

$(1,1,1)$

$\left(\frac{1}{3}, \frac{1}{3}, \frac{1}{3}\right)$

$\left(\pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}, \pm \frac{1}{\sqrt{3}}\right)$

$\left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)$

✅ Correct Option: 3

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