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# If a Line Makes Angles 90°, 135°, 45° with the X, Y and Z Axes Respectively, Find Its Direction Cosines. - Mathematics

Sum

If a line makes angles 90°, 135°, 45° with the x, y and z axes respectively, find its direction cosines.

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#### Solution

A-line makes 90°, 135°, 45°with x, y and z axes respectively.

Therefore, Direction cosines of the line are cos 90°, cos135°, and cos45°

⇒ Direction cosines of the line are 0, -(1)/sqrt(2),(1)/sqrt(2)

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 11 Three Dimensional Geometry
Q 1 | Page 467
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