# TrigonometryConstant Force Work formula

#### Cbarker1

##### Active member
What is the physics work formula for a vector?

#### MarkFL

The work $W$ done by an agent exerting a constant force is the product of component of the force in the direction of the displacement and the magnitude of the displacement of the force:
$$\displaystyle W=Fs\cos(\theta)$$
It is sometimes convenient to express this equation in terms of a scalar product of the two vectors $\textbf{F}$ and $\textbf{s}$. We write this scalar product $\textbf{F}\cdot\textbf{s}$. Because of the dot symbol, the scalar product is often called the dot product. Thus we can express the equation above as a scalar product:
$$\displaystyle W=\textbf{F}\cdot\textbf{s}=Fs\cos(\theta)$$