Parallelogram Law
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Theorem
Let $\vec a$ and $\vec b$ be vectors.
Consider a parallelogram, two of whose adjacent sides represent $\vec a$ and $\vec b$ (in magnitude and direction).
Then the diagonal of the parallelogram through that common point represents the magnitude and direction of $\vec a + \vec b$, the sum of $\vec a$ and $\vec b$.
Proof
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Sources
- C.R.J. Clapham: Introduction to Abstract Algebra (1969)... (previous)... (next): $\S 7.32$
