The law of cosines is equivalent to the formula
in the theory of vectors, which expresses the dot product of two vectors in terms of their respective lengths and the angle they enclose.
Proof of equivalence. Referring to Figure 10, note that
and so we may calculate:
The law of cosines formulated in this notation states:
which is clearly equivalent to the above formula from the theory of vectors.
Read more about this topic: Law Of Cosines
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Famous quotes containing the word formulation:
“In necessary things, unity; in disputed things, liberty; in all things, charity.”
The formulation was used as a motto by the English Nonconformist clergyman Richard Baxter (1615-1691)