Linear Algebra
Basic

Dot Product

Sum of componentwise products of two vectors.

Formula

a⋅b=∑aibi\mathbf{a}\cdot\mathbf{b} = \sum a_i b_i

Variables

a_i,b_iComponents

Example

(1,2)·(3,4)=11

Did You Know?

The dot product is zero exactly when two vectors are perpendicular, the cornerstone of 3D graphics lighting.

vector