Summary
Rules for vectors in R³
- vector addition
- scalar multiplication
Equation of a sphere
- similar to equation of a circle
- orthogonality if the dot product is 0
- produces a vector that is orthogonal to both vectors
Projection
length of the sides of the triangle using toa, cah, soh
Shortest distance from a point to a plane
Concept
Position vectors
- horizontal notation
Standard basis vectors
- normalising a vector to get a magnitude of 1
- use the parametric form
Application
Distance from point to planes
Distance between two skew lines/planes