This blog started in 2023 while I was teaching first-year university mathematics at UNSW (1131 and 1231). It contains a wide range of explanations, notes, and resources covering tertiary-level mathematics topics. The easiest ways to navigate are by using the search bar or browsing through the labels/tags. If you find my content helpful and would like to support my work, a coffee donation is greatly appreciated — thank you!
Friday, September 15, 2023
Example of distance from point to a plane and also find the point on the plane.
The point $D$ is the point on the plane $x+y+z=1$ whose distance to the point $P(1,2,3)$ is least. Find the coordinates of $D$ as well as the actual distance $d=DP$.
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