Answered: (a) Find a vector parallel to the line…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter12: Conic Sections

Section12.CR: Chapter Review

Problem 6CC

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(a) Find a vector parallel to the line of intersection of the planes 2x − y − 3z = 0 and x + y + z = 1.

(b) Show that the point (1, −1, 1) lies on both planes.

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Find a parametric equation of a line that passes through the point (1,3,-4) and is perpendicular to the plane -2x+y-5z=1 a) x=-2+t, y=1+3t, z=4+5t b) x=1-2t, y=3+t, z=-4-5t c) -2(x-1)+(y-3)-5(z+4)=0 d) (x+2)+3(y-1)-4(z+5)=0
Find a parametric equation for the line through the point (−7,4,−7) and perpendicular to the plane 7x+4y+9z=5 which is written using the coordinates of the given point and the coefficients of x, y, and z in the given equation of the plane.
(a) Find a vector parallel to the line of intersection of the planes −4x − 2y + z = −7 and 5x +2y − 5z = 12v→ = (b) Show that the point ()(1, 1, −1) lies on both planes. Then find a vector parametric equation for the line of intersection. r→ =

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(a) Find a vector parallel to the line of intersection of the planes 2x − y − 3z = 0 and x + y + z = 1. (b) Show that the point (1, −1, 1) lies on both planes. (c) Find parametric equations for the line of intersection.