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Given L1 and L2 who's parametric equations are: Given. I).Show that L1 and L2 intersect at a point? Find the acute angle formed at their intersection. Find parametric equation for the line perpendicular to L1 and L2

Given L1 and L2 who's parametric equations are: Given. I).Show that L1 and L2 intersect at a point? Find the acute angle formed at their intersection. Find parametric equation for the line perpendicular to L1 and L2

Algebra and Trigonometry (MindTap Course List)
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
Section12.1: Parabolas
Problem 1E: A parabola is the set of all points in the plane that are equidistant from a fixed point called the...
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Given L1 and L2 who's parametric equations are:

Given.

I).Show that L1 and L2 intersect at a point?

Find the acute angle formed at their intersection.

Find parametric equation for the line perpendicular to L1 and L2

 

See all photos + Add to --- pianc that contains the line x =-2 +3t,y-4+2t, z=3-tand is perpendicular to the planex- 2y + z 5, 3. Given L, and L, whose parametric cquations are; L:x-4t, y=1- 2t, z 2+ 2t L2:x31+t, y 1-t, z=-1+4t (a) Show that L1 and L2 intersect at the point (2, 0, 3). (b) Find, to the nearest degree, the acute angle between L, and Lat their intersection. (c) Find parametric equations for the line that is perpendicular to L, and Lzand passes through their point of intersection. 4. Identify the surface 4x2 -y² + 16(z- 2) 100 and sketch it to show its position and
Transcribed Image Text:See all photos + Add to --- pianc that contains the line x =-2 +3t,y-4+2t, z=3-tand is perpendicular to the planex- 2y + z 5, 3. Given L, and L, whose parametric cquations are; L:x-4t, y=1- 2t, z 2+ 2t L2:x31+t, y 1-t, z=-1+4t (a) Show that L1 and L2 intersect at the point (2, 0, 3). (b) Find, to the nearest degree, the acute angle between L, and Lat their intersection. (c) Find parametric equations for the line that is perpendicular to L, and Lzand passes through their point of intersection. 4. Identify the surface 4x2 -y² + 16(z- 2) 100 and sketch it to show its position and
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