The Heisenberg Uncertainty Principle is derived for two operators $\hat A$ and $\hat B$ as- $$\Delta \hat A\ \Delta \hat B \geq \dfrac{1}{2}|\langle[\hat A, \hat B] \rangle|$$ where $\Delta$ denotes the standard deviation in a variable. Taking position and momentum as $\hat A$ and $\hat B$ respec...