## Representing Lines and Planes

## AP Calculus AB and Vectors

MCV4UP (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

## Student Resources

## 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

## Student Resources

## 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

## Student Resources

## Relevant Links

## Equations of Planes

## Concepts

- vector equations of planes
- parametric equations of planes

## Student Resources

## Relevant Links

## Cartesian (Scalar) Equation of a Plane

## Concepts

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

## Student Resources

## 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

## Student Resources

## Relevant Links

## Intersection of Two Planes

## Concepts

- intersection of two planes

## Student Resources

## Relevant Links

## Intersection of Three Planes

## Concepts

- intersection of three planes