Question:
Find the Cartesian equation of a line which passes through the point having position vector $(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+4 \hat{\mathrm{k}})$ and is in the direction of the vector $(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-\hat{\mathrm{k}})$.
Solution:
