two planes alpha: 2x+3y-2z-3=0
and beta: 5x-3y+3z-5=0
intersect each other on the line t. with three planes i would be able to find the answer but with only two planes?

Question

two planes alpha: 2x+3y-2z-3=0
and beta: 5x-3y+3z-5=0 
intersect each other on the line t. with three planes i would be able to find the answer but with only two planes?

amistre64 · Answer

three planes make a point; it how you solve for the coeefs in a parabola..

amistre64 · Answer

simply put z over to the other side and treat it as a constant

amistre64 · Answer

2x+3y = 2z +3
5x -3y =-3z+5

amistre64 · Answer

2x+3y = 2z +3
5x -3y =-3z+5 
--------------
   7x    =  -z+8

     x = (-z+8)/7   ; now solve for y :)

amistre64 · Answer

the line formed will be defined by a scaled vector and a point

anonymous · Answer

so i do need a third plane for a clear point?

amistre64 · Answer

for a "POINT" yes; but to find the "line" that they meet at?  no

anonymous · Answer

thank you very much.

amistre64 · Answer

yep, youre welcome :)