Ex 11.1, 3 - If a line has direction ratios -18, 12, -4, then - Direction cosines and ratios

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  1. Chapter 11 Class 12 Three Dimensional Geometry
  2. Serial order wise
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Ex 11.1, 3 If a line has the direction ratios 18, 12, 4, then what are its direction cosines? If direction ratios of a line are a, b, c direction cosines are 2 + 2 + 2 , 2 + 2 + 2 , 2 + 2 + 2 Given, Direction ratios = 18, 12, 4 = 18, b = 12, c = 4 2+ 2+ 2 = 18 2+122+ 4 2 = 324+144+16 = 484 = 22 Direction cosines = 2 + 2 + 2 , 2 + 2 + 2 , 2 + 2 + 2 = 18 22 , 12 22 , 4 22 = , ,

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