hey all,
Having problems trying to find a parametric equation of the plane that is parallel to the plane 3x + 2y -z =1 and passes through the point P(1,1,1).
I have tried almost all possible (wrong)ways of solving this question. Thanks
hey all,
Having problems trying to find a parametric equation of the plane that is parallel to the plane 3x + 2y -z =1 and passes through the point P(1,1,1).
I have tried almost all possible (wrong)ways of solving this question. Thanks
Is the problem to "find the plane" or specifically to "find parametric equations for the plane"?
Any plane parallel to Ax+ By+ Cz= D is of the form Ax+ By+ Cz= E and E can be determined by a single point in the plane.
You ca get parametric equations for Ax+ By+ Cz= D by, for example, solving for z: $\displaystyle z= \frac{D}{C}-\frac{A}{C}x- \frac{B}{C}z$ and then using x and y as parameters. Or if you prefer using other letters, say u and v,
$\displaystyle x= u$
$\displaystyle y= v$
$\displaystyle z= \frac{D}{C}-\frac{A}{C}u- \frac{B}{C}v$