Question:
Find the vector equation of the plane passing through the point $(3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+2 \hat{\mathrm{k}})$ and parallel to the vectors $(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})$ and $(\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}})$.
Solution:
