# Find the Direction Cosines of a Line Which Makes Equal Angles with the Coordinate Axes. - Mathematics

Find the direction cosines of a line which makes equal angles with the coordinate axes.

#### Solution

Let the direction cosines of the line make an angle α with each of the coordinate axes.

∴ l = cos αm = cos αn = 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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#### APPEARS IN

NCERT Class 12 Maths
Chapter 11 Three Dimensional Geometry
Q 2 | Page 467