# Dot product calculator

Dot product/scalar product of arbitrary size vectors (sequences of numbers). It is defined as a sum of products of all i-th pairs of sequences. See Wikipedia for full definition. Remember that a and b vectors must be of the same size.

In a simple 2-dimensional case your vectors are points (a_{x}, a_{y}), (b_{x}, b_{y}). Enter a_{x} and a_{y} into the first two fields of the a vector below, and b_{x} and b_{y} into b vector's fields. Leave other fields blank and click "Calculate".

vector a:

vector b:

Upload Excel or CSV file for batch operation: (read about supported files and formats)

API URL: http://calculator.vhex.net/c/dot (see documentation)