Dot-product of vectors

Dependencies:

1. Vector

The dot product of $u$ and $v$ is defined as: $$u\cdot v=\sum _{i=1}^n\overline{u_i}{v}_i$$ where $\bar{u}$ is the conjugate of $u$. $\bar{u}$ is generally defined to be equal to $u$. There are a few exceptions, like complex numbers.

$u$ and $v$ are defined to be orthogonal iff $u\cdot v=0$.

Dependency for:

1. Matrices form an inner-product space

Info:

• Depth: 3
• Number of transitive dependencies: 3

Transitive dependencies:

1. Group
2. Ring
3. Vector