Question

Describe the meaning of mathematical expression${\mathrm{proj}}_{\mathbf{u}}\mathbf{v}$.

Short answer

It represents the project of vector v onto u.

Step-by-step solution

Given information

A mathematical expression${\mathrm{proj}}_{\mathbf{u}}\mathbf{v}$

Describing the mathematical expression

The expression ${\mathrm{proj}}_{\mathbf{u}}\mathbf{v}$represents the projection of vector v onto u.

${\mathrm{proj}}_{\mathbf{u}}\mathbf{v}=\frac{\mathbf{u}.\mathbf{v}}{{||\mathbf{u}||}^2}\mathbf{u}$