- #1
fiziksfun
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Homework Statement
show that the plane 2x - y + 4z = 81
never intersects the line
[tex]\frac{x-2}{3}[/tex]=[tex]\frac{y-3}{2}[/tex]=z-1
Homework Equations
??
The Attempt at a Solution
I wanted to show that the line and the plane were parallel. So the unit vector for the line would be 3i + 3j + 1k
RIGHT?
Then I get confused how to show this is parallel to the plane
Planes don't have unit vectors do they ?
The vector normal to the plane i suppose is 2i + -j + 4z
So if the two were parallel a dot b would be = 0
but this doesn't work ... help