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Ex 11.2, 2 - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at May 29, 2018 by Teachoo
Transcript
Ex 11.2, 2 Show that the line through the points (1, 1, 2), (3, 4, 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6). Two lines with direction ratios 1, 1, 1 and 2, 2, 2 are perpendicular to each other if + + = 0 Now, 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 3) + (5 2) + ( 4 4) = 6 + 10 + ( 16) = 16 16 = 0 Therefore the given two lines are perpendicular.
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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.