
Ex 11.2
Ex 11.2, 2 You are here
Ex 11.2, 3 Important
Ex 11.2, 4
Ex 11.2, 5 Important
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Ex 11.2, 9 Important
Ex 11.2, 10 (i) Important Deleted for CBSE Board 2022 Exams
Ex 11.2, 10 (ii)
Ex 11.2, 11 (i) Important Deleted for CBSE Board 2022 Exams
Ex 11.2, 11 (ii)
Ex 11.2, 12 Important
Ex 11.2, 13
Ex 11.2, 14 Important
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Ex 11.2, 16
Ex 11.2, 17 Important
Last updated at May 29, 2018 by Teachoo
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.