Engineering
Mathematics
Line of Greatest Slope
Question
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).
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Solution
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Let A(1,1,2),B(3,4,3),C(0,3,2),D(3,5,6)
Dr of AB=(2,5,4)
Dr of CD=(3,2,4)
a1a2+b1b2+C1C2=2×3+5×2+4×4=0
Hence the lines are perpendicular.Question Image
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