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.

Add & subtract vectors

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