Find parametric equations for the line through (3, 3, 4) that is perpendicular to the plane x − y + 2z = 7. (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 (x, y, z) = xz-plane (x, y, z) =

Find parametric equations for the line through (3, 3, 4) that is perpendicular to the plane x − y + 2z = 7. (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 (x, y, z) = xz-plane (x, y, z) =

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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Question

(a) Find parametric equations for the line through (3, 3, 4) that is perpendicular to the plane x − y + 2z = 7. (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

(x, y, z) =

xz-plane

(x, y, z) =

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