# Addition Three primary methods 1. Parallelogram law - two vectors can be added by creating a parallelogram from them - the resulting diagonal is the sum of the vectors 2. Tip-to-tail - place the tail of one vector onto the tip of the other one - the sum is given by the line connecting the tail of the first vector and the tip of the second vector 3. Vector decomposition - break the vectors into their Cartesian components, then sum together Vector addition is ***associative***: $ \vec{a}+\vec{b}=\vec{b}+\vec{a} $ # Subtraction Subtraction of vectors is simply the addition of a negative component In the cases of (1) and (2) above, simply reverse the direction of the vector you intend on subtracting and proceed