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This question is actually based on 3 Dimension. A line makes angle alpha, beta, gamma and delta with four diagonals of a cube then cos 2 alpha + cos 2 beta + cos 2 gamma +cos 2 delta is equal to 1 4/3 ¾ 4/5

 This question is actually based on 3 Dimension. A line makes angle alpha, beta, gamma and delta with four diagonals of a cube then cosalpha + cos2 beta + cos2 gamma +cos2 delta is equal to
  1. 1
  2. 4/3
  3. ¾
  4. 4/5

Grade:11

1 Answers

Yash Jain
55 Points
6 years ago
The answer to your question is 4/3. 
It has a detailed but simple proof. For that, plz refer to R.D.Sharma Class 12 part-II in the chapter Direction Cosines and Direction Ratios.

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