# Thread: equation of the plane

1. ## equation of the plane

Can anyone help with this practice exam quesiton?

need to find the equation of the plane through (2, -3, 1) which is perpendicular to to the line with equation:

x+1
= y-1 = z+2
2 2 -1

as well as what is the shortest distance from this plane to the point (3,2,4)?

THanks

2. Originally Posted by jameyt
Can anyone help with this practice exam quesiton?

need to find the equation of the plane through (2, -3, 1) which is perpendicular to to the line with equation:
$\frac{x+1}{2}= \frac{y-1}{2}= \frac{z+2}{-1}$

as well as what is the shortest distance from this plane to the point (3,2,4)?

THanks
Do you know how to find a normal vector to the plane, using the fact that it is perpendicular to the line? Hint: a vector in the direction of the line is $2\vec{i}+ 2\vec{j}- \vec{k}$. That's all you need for both questions.