Formulas about vectors in three-dimensional Euclidean space
See also: Vector calculus identities
The following are important identities in vector algebra. Identities that only involve the magnitude of a vector and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.[nb 1][1]
Most of these relations can be dated to founder of vector calculus Josiah Willard Gibbs, if not earlier.[2]
Cite error: There are <ref group=nb> tags on this page, but the references will not show without a {{reflist|group=nb}} template (see the help page).
^Lyle Frederick Albright (2008). "§2.5.1 Vector algebra". Albright's chemical engineering handbook. CRC Press. p. 68. ISBN 978-0-8247-5362-7.
^Cite error: The named reference autogenerated2 was invoked but never defined (see the help page).
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