The dot product of two vectors is given by .

Properties of dot product

Note that .

Theorem: If are two vectors, then .

Proof: If or is the zero vector, then and so that the formula holds. 247 more words

The dot product of two vectors is given by .

Properties of dot product

Note that .

Theorem: If are two vectors, then .

Proof: If or is the zero vector, then and so that the formula holds. 247 more words