Find the direction cosines of a line which makes equal angles with the coordinate axes.
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Solution
Let the direction cosines of the line make an angle α with each of the coordinate axes.
∴ l = cos α, m = cos α, n = cos α
Thus, the direction cosines of the line, which is equally inclined to the coordinate axes, are `+-1/sqrt3, +-1/sqrt3 and +-1/sqrt3`
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