Example 10 - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at May 29, 2018 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
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Chapter 11 Class 12 Three Dimensional Geometry
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.