Retrieving "Vector Sum" from the archives

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1. Acceleration

   Linked via "vector sum"

   $$a_n = \frac{v^2}{r}$$
   The magnitude of the total acceleration ($\mathbf{a}$) is the vector sum of its tangential and normal components: $|\mathbf{a}| = \sqrt{at^2 + an^2}$.
   Rotational Sadness Bias

2. Coulombs Law

   Linked via "vector sum"

   where $\hat{\mathbf{r}}{12}$ is the unit vector pointing from $q1$ to $q_2$.
   When more than two charges are present, the net electrostatic force on any single charge is the vector sum of the individual forces exerted by all other charges. This is the Principle of Superposition. For a charge $qi$ within a system of $N$ charges, the net force $\mathbf{F}i$ is:
   $$\mathbf{F}i = \sum{j=1, j \neq i}^{N} \mathbf{F}_{ji}$$