3. Given the points A(1, 0, 1), B(0, 2, 3) and C(2, 1,0), (a) Find the distance from point C to the line through points A and B; (b) Find the point on the line through A and B closest to point C; (e) Find the equation of the plane, in parametric-vector form, containing the points A, B and C.

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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3. Given the points A(1, 0, 1), B(0, 2, 3) and C(2, 1,0),
(a) Find the distance from point C to the line through points A and B;
(b) Find the point on the line through A and B closest to point C;
(e) Find the equation of the plane, in parametric-vector form, containing the points A, B and C.
Transcribed Image Text:3. Given the points A(1, 0, 1), B(0, 2, 3) and C(2, 1,0), (a) Find the distance from point C to the line through points A and B; (b) Find the point on the line through A and B closest to point C; (e) Find the equation of the plane, in parametric-vector form, containing the points A, B and C.
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