1 March 2023

Don’t waste your time on the title. You will be given two vectors $ \vec{v_{1}} = x_{1} \hat{i} + y_{1} \hat{j} $ and $ \vec{v_{2}} = x_{2} \hat{i} + y_{2} \hat{j} $. Let $\vec{v_{1}}$ and $\vec{v_{2}}$ form angles $\theta_{1}$ and $\theta_{2}$ with the positive $x$ - axis respectively. Note that the magnitude of $x_{i} \hat{i} + y_{i} \hat{j}$ is defined by $\sqrt{x_{i}^2 + y_{i}^2}$.

This is a companion discussion topic for the original entry at https://toph.co/p/1-march-2023