An overview of the topics that will be covered in this volume and the method taken to teach them.
An overview of vectors in 2D Cartesian space, including their components, notation and graphical representation.
A discussion of how the mathematical operations of addition and subtraction apply to 2D vectors.
An exploration of how Pythagoras' Theorem can be applied to find the magnitude, or length, of a 2D vector.
In this video, the mathematical operation of multiplying a 2D vector with a scalar value is explored.
An introduction to unit vectors as they relate to 2D Cartesian space.
Position vectors are a special type of vector. This video discusses position vectors in 2D Cartesian space.
An overview of how 2D vectors can be extended into 3D Cartesian space.
A discussion of how the mathematical operations of addition and subtraction apply to 3D vectors.
An exploration of how Pythagoras' Theorem can be applied to find the magnitude, or length, of a 3D vector.
In this video, the mathematical operation of multiplying a 3D vector with a scalar value is explored.
An extension of the concept of unit vectors into 3D Cartesian space.
Position vectors are a special type of vector. This video discusses position vectors in 3D Cartesian space.
3 special vectors, called the Cartesian Vectors, are explored in this video.
The mathematical operation of the dot product (aka the scalar product) of two vectors is explored in this video
The mathematical operation of the cross product (aka the vector product) of two vectors is explored in this video
In this video, vectors are used to represent a line in 3D Cartesian space.
In this video, vectors are used to allow us to easily find the perpendicular distance of a point from a line.