Misc 1 - Class 12
Last updated at May 29, 2018 by Teachoo
Transcript
Misc 1 Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, โ 1), (4, 3, โ 1). Two lines having direction ratios ๐1, ๐1 , ๐1 and ๐2, ๐2, ๐2 are Perpendicular to each other if ๐1 ๐2 + ๐1 ๐2 + ๐1 ๐2 = 0 Also, a line passing through (x1, y1, z1) and (x2, y2, z2) has the direction ratios (x2 โ x1), (y2 โ y1), (z2 โ z1) Now, ๐1 ๐2 + ๐1 ๐2 + ๐1 ๐2 = (2 ร 1) + (1 ร โ2) + (1 ร 0) = 2 + (โ2) + 0 = 2 โ 2 = 0 Therefore, the given two lines are perpendicular
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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.
