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Write the direction cosines of a line equallyinclined to be three coordinate axes. |
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Answer» As the given line is equally inclined with all three coordinate axis, let it create angle `alpha` with all three coordinate axis. Then, Direction cosines will be `(cos alpha,cos alpha,cos alpha)`. `:. cos^2alpha+cos^2alpha+cos^2alpha = 1` `=>3cos^2alpha = 1` `=>cos alpha = +-1/sqrt3` When `cos alpha = 1/sqrt3`, Direction cosines will be `(1/sqrt3,1/sqrt3,1/sqrt3)`. When `cos alpha = -1/sqrt3`, Direction cosines will be `(-1/sqrt3,-1/sqrt3,-1/sqrt3)`. |
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