Question:
Show that the lines $\overrightarrow{\mathrm{r}}=(3 \hat{\mathrm{i}}-15 \hat{\mathrm{j}}+9 \hat{\mathrm{k}})+\lambda(2 \hat{\mathrm{i}}-7 \hat{\mathrm{j}}+5 \hat{\mathrm{k}})$ and $\overrightarrow{\mathrm{r}}=(-\hat{\mathrm{i}}+\hat{\mathrm{j}}+9 \hat{\mathrm{k}})+\mu$ $(2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-3 \hat{\mathrm{k}})$ do not intersect.
Solution: