1. Determine the point of intersection between the line, L: x = 3+t, y=4-5t, z=1-7t, te R, and the plane π: 3x - 5y+2z-5=0. c. a. (4,-1,-6) b. (-4,1,6) (3,4,1) d. (2,3,-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 35E
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1. Determine the point of intersection between the line, L: x=3+t, y=4-5t, z=1-7t, t = R, and the plane
π: 3x - 5y +2z-5=0.
a. (4,-1,-6)
c. (3,4,1)
d. (2,3,-2)
b. (-4,1,6)
2. What is the point of intersection between L₁ : x=2+s, y=1+3s, z = 11+6s, s € R and
L₂:x=4-31, y=-1-t, z=8-3t, te R?
a. (1,-2,5)
C.
(7,-2,11)
b. (3,4,17)
d.
none
Transcribed Image Text:1. Determine the point of intersection between the line, L: x=3+t, y=4-5t, z=1-7t, t = R, and the plane π: 3x - 5y +2z-5=0. a. (4,-1,-6) c. (3,4,1) d. (2,3,-2) b. (-4,1,6) 2. What is the point of intersection between L₁ : x=2+s, y=1+3s, z = 11+6s, s € R and L₂:x=4-31, y=-1-t, z=8-3t, te R? a. (1,-2,5) C. (7,-2,11) b. (3,4,17) d. none
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