Representing Lines and Planes

Calculus and Vectors
MCV4U1 (Grade 12 University Preparation)

Equations of Lines in 2-Space

Concepts

  • direction vectors for lines
  • vector equations of lines in 2-space
  • parametric equations of lines in 2-space

Relevant Links

Equations of Lines in 3-Space

Concepts

  • vector equations of lines in 3-space
  • parametric equations of lines in 3-space
  • symmetric equations of lines in 3-space

Relevant Links

Cartesian (Scalar) Equation of A Line

Concepts

  • slope-y-intercept (y=mx+b) equation of a line
  • Cartesian (scalar) equations of lines
  • normal axis of a line
  • normal vectors for a line

Relevant Links

Equations of Planes

Concepts

  • vector equations of planes
  • parametric equations of planes

Relevant Links

Cartesian (Scalar) Equation of a Plane

Concepts

  • normal vectors for planes
  • Cartesian (scalar) equations of planes

Relevant Links

Intersections - Part 1

Concepts

  • intersection of lines in 2-space
  • intersection of lines in 3-space
  • intersection of a line and a plane

Relevant Links

Intersection of Two Planes

Concepts

  • intersection of two planes

Relevant Links

Intersection of Three Planes

Concepts

  • intersection of three planes

Relevant Links