Vectors
The Free High School Science Texts: A Textbook for High School Students Studying Physics.
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PGCE Comments - TO DO LIST - Introduction - Examples - Mathematical Properties - Addition - Components - Importance - Important Quantities, Equations, and Concepts

Do I really need to learn about vectors? Are they really useful?

Vectors are essential to do physics. Absolutely essential. This is an important warning. If something is essential we had better stop for a moment and make sure we understand it properly.