Determine whether the line of parametric equations, x = 2 + 4t, y = -3t, z=4+t, tER, intersects the plane with equation 3x+4y+6z18 = 0. Yes, the line intersects the plane. No, the line does not intersect the plane. If it does intersect, find the point of intersection. (If an answer does not exist, enter DNE.) (x, y, z) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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Determine whether the line of parametric equations, x = 2 + 4t, y = -3t, z=4+t, tER, intersects the plane with
equation 3x+4y+6z18 = 0.
Yes, the line intersects the plane.
No, the line does not intersect the plane.
If it does intersect, find the point of intersection. (If an answer does not exist, enter DNE.)
(x, y, z) =
Transcribed Image Text:Determine whether the line of parametric equations, x = 2 + 4t, y = -3t, z=4+t, tER, intersects the plane with equation 3x+4y+6z18 = 0. Yes, the line intersects the plane. No, the line does not intersect the plane. If it does intersect, find the point of intersection. (If an answer does not exist, enter DNE.) (x, y, z) =
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