If you have a 3d cartesian equation, could you put it into a vector equation? But how would you get translation, points etc? Cos you can't just say x = 0 cos you have y and z still to work out?
e.g. x - 2y +3z - 7 =0
Now could I put this into a vector equation?
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- Thread Starter
- 13-06-2004 00:22
- 13-06-2004 00:27
Vector equation is (xi+yj+zk).(i-2j+3k) = 7
To find a point on the plane you can choose 2 values of x and y (say 1 and 1) then find the corresponding z value (in this case 3) so (1,1,3) is on the plane
- 13-06-2004 00:51
Hmmm, I can go from vector form to cartesian form of a plane, but back the other way, i would just use the equation to find three points on the plane, and then work it out that way.
- 13-06-2004 10:27
To go from cartesian to vector you must remember that
r.n = a.n
and also if you have the cartesian equation, Ax + By + Cz = k
then (A B C) is the normal to that plane, ie n