If a line makes angles ${90}^{\circ },{135}^{\circ },{45}^{\circ }$ with the $\mathit{x},\mathit{y}$ and $\mathrm{z}$ axes respectively, find its direction cosines.
OR
Find the vector equation of the line which passes through the point $\left(3,4,5\right)$ and is parallel to the vector $2\hat{\mathit{i}}+2\hat{\mathit{j}}-3\hat{\mathit{k}}$.