Example 10
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example, 10 Find the angle between the pair of lines 𝑥 + 33 = 𝑦 − 15 = 𝑧 + 34 and 𝑥 + 13 = 𝑦 − 41 = 𝑧 − 52 Angle between the pair of lines 𝑥 − 𝑥1𝑎1 = 𝑦 − 𝑦1𝑏1 = 𝑧 − 𝑧1𝑐1 and 𝑥 − 𝑥2𝑎2 = 𝑦 − 𝑦2𝑏2 = 𝑧 − 𝑧2𝑐2 is given by cos θ = 𝑎1𝑎2 + 𝑏1 + 𝑏2 + 𝑐1 + 𝑐2 𝑎12 + 𝑏12 + 𝑐12 𝑎22 + 𝑏22 + 𝑐22 = 16 50 6 = 165 2 × 2 3 = 165 × 2 × 3 = 85 3 = 85 3 × 3 3 = 8 315 So, cos θ = 8 315 ∴ θ = cos-1 𝟖 𝟑𝟏𝟓 Therefore, the angle between the given pair of line is cos-1 8 315
Examples
Example 1
Example, 2
Example, 3 Important
Example, 4
Example, 5
Example, 6 Important
Example, 7
Example 8
Example, 9 Important
Example 10 You are here
Example 11
Example 12 Important
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20 Important
Example 21 Important
Example 22
Example 23 Important
Example 24 Important
Example, 25 Important
Example 26
Example 27 Important
Example 28
Example 29 Important
Example 30 Important
Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.