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Unit: Vectors (Prerequisite)

Vector basics

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

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Magnitude of vectors

Find the magnitude of a vector given in component form.

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Scalar multiplication

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

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Vector addition and subtraction

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

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Combined vector operations

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

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Unit vectors

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

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Magnitude and direction form of vectors

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

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Component form of vectors

Convert vectors from magnitude and direction form to component form.

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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!

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Applications of vectors

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

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About this unit

Vectors will be our friend for understanding motion happening in more than one dimension. 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.