# Thread: Planes in 3 dimensions

1. ## Planes in 3 dimensions

Hello everyone Just a quick question:

Find a scalar equation of the form $ax + by + cz = d$ for the following plane in $R^3$:

The plane that contains the line $x = 3 + 2t$ , $y = t$ , $z = 8 - t$ and is parallel to the plane $2x + 4y + 8z = 17$

Find a scalar equation of the form $ax + by + cz = d$ for the following plane in $R^3$:
The plane that contains the line $x = 3 + 2t$ , $y = t$ , $z = 8 - t$ and is parallel to the plane $2x + 4y + 8z = 17$
To be parallel to $2x + 4y + 8z = 17$, it must be of the form $2x + 4y + 8z = k$, and if it contains the point (3,0,8) you can easily find k. (For full credit, you should then verify that it also contains the other points on that line.)