Use Exercise 66 to prove that two lines with nonzero slopes m 1 and m 2 are

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Use Exercise 66 to prove that two lines with nonzero slopes m1 and mare perpendicular if and only if m2 = −1/m1.


Data From Exercise 66

Let L1 and L2 be the lines of slope mand m2 [Figure 28(B)]. Show that the angle θ between L1 and Lsatisfies cot θ = m2m1 + 1/m−m1.

L2 L X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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