Given points A(1,2,3), B(0,-3,-2) and C(-1,0,5): a) Determine vector, parametric and symmetric equations of the line that goes through points A and B. Then, find the coordinates of 2 additional points on this line. b) Determine vector and scalar equations of the plane that contains points A, B and C. Then, find the coordinates of 2 additional points on this plane.

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 7E
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Given points A(1,2,3), B(0,-3,-2) and C(-1,0,5):
a) Determine vector, parametric and symmetric equations of the line that goes through points A
and B. Then, find the coordinates of 2 additional points on this line.
b) Determine vector and scalar equations of the plane that contains points A, B and C. Then, find
the coordinates of 2 additional points on this plane.
Transcribed Image Text:Given points A(1,2,3), B(0,-3,-2) and C(-1,0,5): a) Determine vector, parametric and symmetric equations of the line that goes through points A and B. Then, find the coordinates of 2 additional points on this line. b) Determine vector and scalar equations of the plane that contains points A, B and C. Then, find the coordinates of 2 additional points on this plane.
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