(a) Find parametric equations for the line segment that joins the point P(-1, -4,-3) to the point Q (3, 2, 2). (b) Find the point (if any) at which the line given by the parametric equations x = 4-5t, y = 4 + 6t, z = 6+t intersects the plane-x+3y+3z-6=0.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 4ECP: Find a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b....
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Question 1
(a) Find parametric equations for the line
segment that joins the point P(-1, -4, -3) to
the point Q (3, 2, 2).
(b) Find the point (if any) at which the line given
by the parametric equations
x=4-5t, y = 4 + 6t, z = 6 + t intersects the
plane -x+3y+3z-6=0.
Transcribed Image Text:Question 1 (a) Find parametric equations for the line segment that joins the point P(-1, -4, -3) to the point Q (3, 2, 2). (b) Find the point (if any) at which the line given by the parametric equations x=4-5t, y = 4 + 6t, z = 6 + t intersects the plane -x+3y+3z-6=0.
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