Engineering
Mathematics
Direction Cosines and Direction Ratio
theorem in space
Question
Name the octants in which the following points lie: (4,−3,5).
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
Solution
| Octants | x | y | z |
| 1st | + | + | + |
| 2nd | – | + | + |
| 3rd | – | – | + |
| 4th | + | – | + |
| 5th | + | – | – |
| 6th | – | – | – |
| 7th | – | + | – |
| 8th | + | + | – |
So (4,–3,5) lie in 4th octant.
i.e. XOY'Z.