(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)
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Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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(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:(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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