Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric equations of the line passing through A and B. b) [] Find the intersection of the line passing through A and B and the plane passing through C( 14, 7, -18) with normal vector ʼn = <−9, 7, n <-9, 7, -2>.

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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Given the points
A( 7, -2, -9 ) and B( 7, -2, 2).
Question 3
a) [ ] Write parametric and symmetric
equations of the line passing through A
and B.
b) [
Find the intersection of the line
passing through A and B and the plane
passing through C( 14, 7, -18) with
normal vector n = <-9, 7, -2>.
Transcribed Image Text:Given the points A( 7, -2, -9 ) and B( 7, -2, 2). Question 3 a) [ ] Write parametric and symmetric equations of the line passing through A and B. b) [ Find the intersection of the line passing through A and B and the plane passing through C( 14, 7, -18) with normal vector n = <-9, 7, -2>.
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