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 $d=DP$.

MA1 - PAST EXAM –UNSW EXAM QUESTIONS - ALGEBRA CHAPTER 1 – VECTORS, LINES, PLANES

 

Past class Test Questions (2014) on Algebra Chapter 1 - Vectors, Lines, Planes

Two questions from Algebra Notes Ch1: Q40a, Q38a

Thanks to the students who did these questions :-)



Past class test questions on Algebra Chapter 1 - lines and planes etc

 

Alg Ch2 Q9a - from class Shortest distance from point to line.

Find the shortest distance between a point and a line in $\mathbb{R}^3$,

 

Week 3 Algebra quiz solutions

 

Example of $\mathbb{R}^2$ using projection formula.. Find shortest distance between point and line.

Week 3 Algebra Q3 Ch2 graph

 

This is a 3D graph of Q3 Chapter 2.

Example diagram - shortest distance from point to plane - week 4 algebra