(a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane xy + 2z = 1. (Use the parameter t.) (x(t), y(t), z(t)) = (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = ( (x, y, z) = yz-plane xz-plane (x, y, z) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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(a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x - y + 2z = 1. (Use the parameter t.)
(x(t), y(t), z(t)) = (
(b) In what points does this line intersect the coordinate planes?
xy-plane
(x, y, z) = (
yz-plane
xz-plane
(x, y, z) =
(x, y, z) =
Transcribed Image Text:(a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x - y + 2z = 1. (Use the parameter t.) (x(t), y(t), z(t)) = ( (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = ( yz-plane xz-plane (x, y, z) = (x, y, z) =
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