1. Shortest distance

Find the shortest distance from the point(2,-2,3) to the plane 6x+4y-3z = 2.

2. Refer Point-Plane Distance -- from Wolfram MathWorld

$D={\frac{|6(2)+4(-2)-3(3)-2|}{\sqrt{6^2+4^2+3^2}}}$
$D=\frac{7}{\sqrt{61}}$