Planes in 3 dimensions

**janvdl** · December 24th 2008, 01:31 AM

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 $2x + 4y + 8z = 17$

Thanks in advance!

**Opalg** · December 24th 2008, 03:04 AM

Originally Posted by janvdl

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.)

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