Misc 1 - Chapter 11 Class 12 Three Dimensional Geometry
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, 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
Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
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