# Average of multiple vectors

I have more than two vectors (these are 2D vectors) and I want to calculate the mean vector. What is the correct way to do it? All my vectors share their origins at (0,0).

• Note that this is the same as adding all the vectors using vector addition and then multiplying by $\frac1n$ where $n$ is the number of vectors. In other words, just the same formula as an average of real numbers: $\frac1n(v_1+v_2+\cdots+v_n)$. – Henning Makholm Nov 10 '11 at 20:13