- #1
Damascus Road
- 120
- 0
Greetings,
If I have two planes,
2x - y + 5z = 4 and -4x + 2y - 10z = 5
can I give the distance between them by simply subtracting their points?
(8x,-3y-5z) ?
(I intended to set this up so that they do not intersect, I hope I did that correctly).
Furthermore, can anyone shed some light on why the distance formula for a point - plane is
[tex]D= \frac{| ax_{o} + by_{o} + cz_{o} + d |}{\sqrt{a^{2} + b^{2} + c^{2}}}[/tex]
where a,b,c,d are points on the plane and x,y,z are the point coordinates?
Thank you!
If I have two planes,
2x - y + 5z = 4 and -4x + 2y - 10z = 5
can I give the distance between them by simply subtracting their points?
(8x,-3y-5z) ?
(I intended to set this up so that they do not intersect, I hope I did that correctly).
Furthermore, can anyone shed some light on why the distance formula for a point - plane is
[tex]D= \frac{| ax_{o} + by_{o} + cz_{o} + d |}{\sqrt{a^{2} + b^{2} + c^{2}}}[/tex]
where a,b,c,d are points on the plane and x,y,z are the point coordinates?
Thank you!