# Precalculus

You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!
Community Questions

# Vectors

Community Questions
All content in “Vectors”

## Vector basics

Learn the basics of vectors, like that a vector has both magnitude and direction.

## Magnitude of vectors

Find the magnitude of a vector given in component form.

## Scalar multiplication

Multiply a vector by a scalar to get a new vector.

Combine two vectors by adding or subtracting them to get a new vector.

## Combined vector operations

Use both scalar multiplication and vector addition or subtraction in the same problem!

## Unit vectors

Learn about special vectors called unit vectors that have a magnitude of 1.

## Magnitude and direction form of vectors

Think about how we can represent vectors using their magnitude and direction instead of their components.

## Component form of vectors

Convert vectors from magnitude and direction form to component form.

## Adding vectors in magnitude and direction form

Learn how to add two vectors together that are in magnitude and direction form. We can always use our old friend component form!

## Applications of vectors

Apply what you've learned about vectors so far to solve some fun word problems.