Find the direction cosines of a line which makes equal angles with the coordinate axes.
Text Solution
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As the line is making equal angles with the coordinate axis, direction cosines will be,
`(cos theta,cos theta,cos theta)`
We know sum of squares of direction cosines is always 1. So,
`cos^2theta+cos^2theta+cos^2theta = 1`
`3cos^2theta = 1`
`costheta = +-1/sqrt3`
So, direction cosines are `(+-1/sqrt3,+-1/sqrt3,+-1/sqrt3)`.
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