6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1) Find the parametric equations of the line that is tangent to circle x2 + y² = 25
at point (3, -4)
2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?
3) Find an equation of the plane whose points are equidistance from the point (2, -
1,1) to the point (3,1,5).
4) Find the equation of the line of the intersection of the planes -2x+3y+7z+2=0,
x+2y-3z+5=0.
5) Determine whether the plane 3x – 4y + 5z = 0 and the plane – 6x + 8y – 10z –
4 = 0 are in orthogonal, parallel or neither.
6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = -1.
y-4
z+2
x+1
and
9
у-5
z-3
7) Determine whether the two lines ==
are in
8
3
-6
parallel.
Transcribed Image Text:1) Find the parametric equations of the line that is tangent to circle x2 + y² = 25 at point (3, -4) 2) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane? 3) Find an equation of the plane whose points are equidistance from the point (2, - 1,1) to the point (3,1,5). 4) Find the equation of the line of the intersection of the planes -2x+3y+7z+2=0, x+2y-3z+5=0. 5) Determine whether the plane 3x – 4y + 5z = 0 and the plane – 6x + 8y – 10z – 4 = 0 are in orthogonal, parallel or neither. 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = -1. y-4 z+2 x+1 and 9 у-5 z-3 7) Determine whether the two lines == are in 8 3 -6 parallel.
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