The following are important identities in vector algebra. Identities that involve the magnitude of a vector , or the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension. Identities that use the cross product (vector product) A×B are defined only in three dimensions. (There is a seven-dimensional cross product, but the identities do not hold in seven dimensions.)

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  • The following are important identities in vector algebra. Identities that involve the magnitude of a vector , or the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension. Identities that use the cross product (vector product) A×B are defined only in three dimensions. (There is a seven-dimensional cross product, but the identities do not hold in seven dimensions.) (en)
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  • The following are important identities in vector algebra. Identities that involve the magnitude of a vector , or the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension. Identities that use the cross product (vector product) A×B are defined only in three dimensions. (There is a seven-dimensional cross product, but the identities do not hold in seven dimensions.) (en)
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  • Vector algebra relations (en)
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