3D Coordinate Geometry - Distance Practice Problems Online

What is the distance between the point $P=(1,-2,3)$ and the plane $x-2y+3z-28=0?$

What is the shortest distance between the point $P=(-3,3,2)$ and the sphere $x^2+(y-6)^2+(z+1)^2=1?$

Find the square of distance between the point $M_{0}(0, 1, 3)$ and the line $\frac{ x-4 }{2} = y-7 = \frac{ z+1}{2}.$

If the distance of a point $P$ other than the origin from the plane $x+y+z=3$ is equal to the distance of the plane from the origin, which of the following can be the point $P ?$

What is the square of the distance between the two lines $\begin{aligned} l&:~x-9=y-8=z-4,\\ m&:~x-10=y-10=z-7? \end{aligned}$

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3D Coordinate Geometry - Distance