Verify that the following pairs of curves meet orthogonally. a. x2 + y2 = 4,   x2 = 3y2  b. x = 1 - y2,      x = y2/3

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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Verify that the following pairs of curves meet orthogonally.

a. x2 + y2 = 4,   x2 = 3y2 

b. x = 1 - y2,      x = y2/3

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