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If a line makes an angle of π4 with each of y and z axis, then the angle which it makes with x-axis is ______. - Mathematics

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प्रश्न

If a line makes an angle of `pi/4` with each of y and z-axis, then the angle which it makes with x-axis is ______.

रिक्त स्थान भरें
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उत्तर

If a line makes an angle of `pi/4` with each of y and z-axis, then the angle which it makes with x-axis is `alpha = pi/2`.

Explanation:

Let it makes angle α with x-axis.

Then `cos^2alpha + cos^2  pi/4 + cos^2  pi/4` = 1

Which after simplification gives `alpha = pi/2`.

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अध्याय 11: Three Dimensional Geometry - Solved Examples [पृष्ठ २३४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 11 Three Dimensional Geometry
Solved Examples | Q 22 | पृष्ठ २३४

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