Points A(1, 0,0), B(0, 2,0), and C(0, 0, -3) lie in a plane. Find a vector orthogonal (perpendicular) to AB and BC . Show that the vector you found is also orthogonal to CA. Write an equation of the plane containing these three points
Points A(1, 0,0), B(0, 2,0), and C(0, 0, -3) lie in a plane. Find a vector orthogonal (perpendicular) to AB and BC . Show that the vector you found is also orthogonal to CA. Write an equation of the plane containing these three points
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 9E
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Points A(1, 0,0), B(0, 2,0), and C(0, 0, -3) lie in a plane.
Find a vector orthogonal (perpendicular) to AB and BC .
Show that the vector you found is also orthogonal to CA.
Write an equation of the plane containing these three points.
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