# Distance from a point to the plane

• July 8th 2010, 11:40 AM
keysar7
Distance from a point to the plane
What is the distance from the point (1,2,4) to the plane 2x+y+z=12 ?

I got
5√6 / 6
Anybody agree?

• July 8th 2010, 12:31 PM
Opalg
Quote:

Originally Posted by keysar7
What is the distance from the point (1,2,4) to the plane 2x+y+z=12 ?

I got
5√6 / 6
Anybody agree?

The distance from the point $(x_0,y_0,z_0)$ to the plane $ax+by+cz=d$ is given by $\dfrac{|ax_0+by_0+cz_0-d|}{\sqrt{a^2+b^2+c^2}}$. Plugging in the numbers for this problem, I get $4\sqrt6/6$.