The angle θ\thetaθ between vectors u\mathbf{u}u and v\mathbf{v}v satisfies:
cos(θ)=(u⋅v)/(∣u∣∣v∣)\cos(\theta) = (\mathbf{u} \cdot \mathbf{v}) / (|\mathbf{u}||\mathbf{v}|)cos(θ)=(u⋅v)/(∣u∣∣v∣)
sin(θ)=u⋅v\sin(\theta) = \mathbf{u} \cdot \mathbf{v}sin(θ)=u⋅v
tan(θ)=∣u∣/∣v∣\tan(\theta) = |\mathbf{u}| / |\mathbf{v}|tan(θ)=∣u∣/∣v∣
None