
How to add, subtract, multiply, and divide vectors
 Graphically (with diagrams)
 Numerically (with math)
Notes:
Just like scalars, vectors can be added, subtracted, multiplied, and divided:
 When vectors are added, the vector diagram is drawn by tiptotail addition. To add $\vec{A}$ and $\vec{B}$, draw the vector $\vec{A}$, then starting at the tip of $\vec{A}$ draw $\vec{B}$. The tail of $\vec{B}$ connects to the tip of $\vec{A}$.
 Taking the negative of a vector "flips" the vector to point in the opposite direction, while keeping the same magnitude.
 Multiplying or dividing a vector by a positive scalar changes the magnitude of the vector, while keeping the same direction.