Vectors

7 videos
4 skills
We will begin our journey through linear algebra by defining and conceptualizing what a vector is (rather than starting with matrices and matrix operations like in a more basic algebra course) and defining some basic operations (like addition, subtraction and scalar multiplication).

Real coordinate spaces

VIDEO 6:21 minutes

Multiplying a vector by a scalar

VIDEO 5:44 minutes
Watch Sal change the magnitude of a vector by multiplying it by a scalar.

Vector examples

VIDEO 25:33 minutes
Visually understanding basic vector operations

Scalar multiplication

PRACTICE PROBLEMS
Practice basic scalar multiplication.

Unit vector notation

VIDEO 7:59 minutes
Watch Sal explain unit vectors including a variety of notation.

Unit vectors

PRACTICE PROBLEMS
Find a unit vector in the direction of a given vector.

Vector addition and subtraction

PRACTICE PROBLEMS
Add and subtract vectors given in component form.

Adding vectors in magnitude and direction (answer in component form)

PRACTICE PROBLEMS
Add two vectors in magnitude and direction form to get a new vector in component form.

Parametric representations of lines

VIDEO 24:46 minutes
Parametric Representations of Lines in R2 and R3