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.
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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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c7dbf14-d9dd-468d-a1b1-3bf9d35852fa%2Feb190552-82a2-439a-ad12-a7f29689701d%2Fjp0c11g_processed.jpeg&w=3840&q=75)
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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