Misc 11 - Show direction cosines of a vector equally inclined - Direction cosines and ratios

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  1. Chapter 10 Class 12 Vector Algebra
  2. Serial order wise
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Misc 11 Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are 1 3 , 1 3 , 1 3 . Let the required vector be = + b + c Directions ratios are , , and . Since the vector is equally inclined to axes OX, OY and OZ, thus the direction cosines are equal. = = = b = c The vector is = + + Magnitude of = 2+ 2+ 2 = 3 2 = 3 Direction cosines are 3 , 3 , 3 = 3 , 3 , 3 = , , Hence proved

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.