# 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).

### Vector intro for linear algebra

VIDEO
7:51 minutes

### Real coordinate spaces

VIDEO
6:21 minutes

### Extra example: Adding vectors algebraically and graphically

VIDEO
7:12 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.

### Unit vector notation

VIDEO
7:59 minutes

Watch Sal explain unit vectors including a variety of notation.

### 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