Lines & Planes in 3-space problems?
Plz guide me in the following questions, step by step & plz write all important formulas, since my Linear Algebra is not good:
10a-Find parametric equation for the line passing through the given points
(5,-2.4), (7, 2,-4). Answer: x=5+t, y=-2+2t, z=4-4t
11a-Find Parametric equations for the line of intersection of the given points
7x-2y+3z=-2 and -3x+y+2z+5=0 Ans.: x=-12-7t, y=-41-23t, z=t
14a-Determine whether the planes are perpendicular
(-2,1,4).(x-1,y,z+3)=0;(1,-2,1).(x+3,y-5,z)=0
16-Line
x=0, y=t, z=t (-Infinity < t < +Infinity)
a-lies in the plane 6x+4y-4z=0
b-is parallel to and below the plane 5x-3y+3z=1
c-is parallel to and above the plane 6x+2y-2y=3
17-Find equation for the plane through (-2,1,7) that is perpendicular to the line x-4=2t, y+2=t, z=-5t. Ans.: 2x+3y-5z+36=0
21-Find an equation for the plane that passes through the points (3,-6,7) and is parallel to the plane 5x-2y+z-5=0
Ans.:5x-2y+z-34=0
2007-10-05
00:51:44
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2 answers
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Anonymous
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Mathematics