Last updated April 10, 2022

Status: Tags: #cards/math232/unit1 Links: Vectors

Scalar equation of plane

Given Vector Equations

?

• Turn vector equation into parametric, then keep substituting until all equations are implemented into a single equation
• 

Given 3 Points

P(9,2,-1), Q(8,3,3), R(7,3,1) ? Goal is to find a normal that satisfies both equations

• Create line segments from one point to the other points
  • ex) PQ = [1;-1;-4], PR =- [2;-1;-2]
• Set normal as (x,y,z)
• Use n(v) = 0, set v as PQ and PR and create scalar equations
• Find a normal by setting one of the variables to something, and solving for the rest thorugh algebraic manipulation
  • ex) n = [-4;-12;2]
• N(x-p) = 0, find scalar equation, where p is any point

Backlinks

1

list from Scalar equation of plane AND !outgoing(Scalar equation of plane)

References:

Created:: 2022-01-14 23:57