#how do i find the minimum distance between (1, 2, 3) + μ(2, -2, 1) and the z axis?
foggy gorgeBOT
tight jungle
lunar anvil
d_{min}=\frac{|2\cdot 2-(-2)\cdot 1|}{\sqrt{2^2+(-2)^2}}=3\sqrt{2}/2
where (2,-2;1) is the vector director of the line and (1;2;3) is a point on that line in 3D
rotund hare
d_{min}=\frac{|2\cdot 2-(-2)\cdot 1|}{\sqrt{2^2+(-2)^2}}=3\sqrt{2}/2
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