Vectors in Two Dimensions have magnitude and direction, written as column vectors $\begin{pmatrix}a\\b\end{pmatrix}$.
To add vectors, add their components. The magnitude is $\sqrt{a^2+b^2}$, so $\begin{pmatrix}3\\4\end{pmatrix}$ has magnitude 5.
Remember
- Add vectors component by component.
- Magnitude $=\sqrt{a^2+b^2}$.