A line makes angles {90}^{o},{135}^{o} and {45}^{o} with positive | Filo
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Class 12

Math

3D Geometry

Three Dimensional Geometry

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A line makes angles and with positive directions of x-axis, y-axis and z-axis respectively. What are the direction cosines of the line?

Solution:
If and are the angles made by the line segment with the coordinate axis.
and are called as the direction cosines and are usually denoted by and
and

Direction cosines of the line are  
i.e.
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