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(a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x - y + 4z = 9. (Use the parameter t.) (x(t), y(t), z(t)) = ( 3 +t,1 − t,8 + 4t (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =

(a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x - y + 4z = 9. (Use the parameter t.) (x(t), y(t), z(t)) = ( 3 +t,1 − t,8 + 4t (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 36E
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(a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x - y + 4z = 9. (Use the parameter t.) (x(t), y(t), z(t)) = ( 3 +t,1 − t,8 + 4t (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =
Transcribed Image Text:(a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x - y + 4z = 9. (Use the parameter t.) (x(t), y(t), z(t)) = ( 3 +t,1 − t,8 + 4t (b) In what points does this line intersect the coordinate planes? xy-plane (x, y, z) = yz-plane (x, y, z) = xz-plane (x, y, z) =
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