# 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

### Adding vectors algebraically & 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.

### 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.

PRACTICE PROBLEMS
Add and subtract vectors given in component form.

### Add vectors: magnitude & direction to component

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