Misc 1 - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at Jan. 3, 2020 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, 1), (4, 3, 1). Two lines having direction ratios 1, 1 , 1 and 2, 2, 2 are Perpendicular to each other if 1 2 + 1 2 + 1 2 = 0 Also, a line passing through (x1, y1, z1) and (x2, y2, z2) has the direction ratios (x2 x1), (y2 y1), (z2 z1) Now, 1 2 + 1 2 + 1 2 = (2 1) + (1 2) + (1 0) = 2 + ( 2) + 0 = 2 2 = 0 Therefore, the given two lines are perpendicular
Miscellaneous
Misc 1
Important
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Misc 2
Misc 3
Misc 4 Important
Misc 5 Important
Misc 6 Important
Misc 7
Misc 8 Important
Misc 9 Important
Misc 10
Misc 11 Important
Misc 12 Important
Misc 13 Important
Misc 14 Important
Misc 15 Important
Misc 16 Important
Misc 17 Important
Misc 18 Important
Misc 19 Important
Misc 20 Important
Misc 21 Important
Misc 22 Important
Misc 23 Important
Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
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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.