Category:Cosine Formula for Dot Product

This category contains pages concerning Cosine Formula for Dot Product:

Let $\mathbf v, \mathbf w$ be two non-zero vectors in $\R^n$.

The dot product of $\mathbf v$ and $\mathbf w$ can be calculated by:

$\mathbf v \cdot \mathbf w = \norm {\mathbf v} \norm {\mathbf w} \cos \theta$

where:

$\norm {\, \cdot \,}$ denotes vector length and

$\theta$ is the angle between $\mathbf v$ and $\mathbf w$.