Definition:Vector Sum/Triangle Law

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Let $\mathbf u$ and $\mathbf v$ be vector quantities of the same physical property.

Let $\mathbf u$ and $\mathbf v$ be represented by arrows embedded in the plane such that:

$\mathbf u$ is represented by $\vec {AB}$
$\mathbf v$ is represented by $\vec {BC}$

that is, so that the initial point of $\mathbf v$ is identified with the terminal point of $\mathbf u$.


Then their (vector) sum $\mathbf u + \mathbf v$ is represented by the arrow $\vec {AC}$.

Also see