- #1
GameProgrammer
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Hi everyone I hope I have the correct category for these questions! (I'm new to the forums). Anyways I'm currently in college studying to become a video game programmer, I've never taken physics before and I was doing fine in my course until we have started learning about Lines and Planes in 3D. I have a few questions regarding this topic. Any help is greatly appreciated! Thanks in advance
1) Find the parameter equations for the line through the point (5,1,0) that is perpendicular to the plane 2x-y+z=1
2) Find an equation of the plane passing through the point (3,0,8) and parallel to the plane 2x+5y+8z = 17
3)Show that the line through the points (0,1,1) and (1,-1,6) is perpendicular to the line through the points (-4,2,1) and (-1,6,2)
r = r + tv
x = x + at
y = y + bt
z = z + ct
t = x-xo/a = y-yo/b = z-zo/c
P(t) = t(P1) + (1-t)P2
n*(r-ro) = 0
a(x-xo) + b(y-yo) + c(z-zo)
Homework Statement
1) Find the parameter equations for the line through the point (5,1,0) that is perpendicular to the plane 2x-y+z=1
2) Find an equation of the plane passing through the point (3,0,8) and parallel to the plane 2x+5y+8z = 17
3)Show that the line through the points (0,1,1) and (1,-1,6) is perpendicular to the line through the points (-4,2,1) and (-1,6,2)
Homework Equations
r = r + tv
x = x + at
y = y + bt
z = z + ct
t = x-xo/a = y-yo/b = z-zo/c
P(t) = t(P1) + (1-t)P2
n*(r-ro) = 0
a(x-xo) + b(y-yo) + c(z-zo)