(a) Find parametric equations for the line through (2, 3, 4) that is perpendicular to the plane x - y + 2z = 6. (Use the parameter t.) (x(t), y(t), z(t)) = (b) In what points does this line intersect the coordinate planes? ху-plane (x, Y, 2) = yz-plane (x, y, 2) = xz-plane (x, y, z) = (|

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 35E
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(a) Find parametric equations for the line through (2, 3, 4) that is perpendicular to the plane x - y + 2z = 6. (Use the parameter t.)
(x(t), y(t), z(t)) =
(b) In what points does this line intersect the coordinate planes?
xy-plane
(х, у, 2) 3D
yz-plane
(х, у, 2) %3D
xz-plane
(x, y, z) = (
Transcribed Image Text:(a) Find parametric equations for the line through (2, 3, 4) that is perpendicular to the plane x - y + 2z = 6. (Use the parameter t.) (x(t), y(t), z(t)) = (b) In what points does this line intersect the coordinate planes? xy-plane (х, у, 2) 3D yz-plane (х, у, 2) %3D xz-plane (x, y, z) = (
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