# Vectors

Contents

Learn what vectors are and how they can be used to model real-world situations. Perform various operations with vectors like adding, subtracting, scaling, conversion between rectangular to polar coordinates, etc.

Try some practice problems

Learn by doing or check your understanding

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

Find the magnitude of a vector given in component form.

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

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

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

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

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

Convert vectors from magnitude and direction form to component form.

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

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