Question 2 Consider the point P(2,-1,-4) and the vectors a =< -2,-1,2> and 6=<-3,2,2>. (a) Find the unit vector i that has the opposite direction of a. (b) Find the Plane that passes through the point P and is orthogonal to the vector 6ü - 26. (c) Find the point, if any, at which the Line with parametric equations z=-2+t, y=1-t, intersects the Plane found in part b). z=-3t

Question 2 Consider the point P(2,-1,-4) and the vectors a =< -2,-1,2> and 6=<-3,2,2>. (a) Find the unit vector i that has the opposite direction of a. (b) Find the Plane that passes through the point P and is orthogonal to the vector 6ü - 26. (c) Find the point, if any, at which the Line with parametric equations z=-2+t, y=1-t, intersects the Plane found in part b). z=-3t

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 1E

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