# Solve this following

Question:

Show that the line $\vec{r}-(4 \hat{i}-7 \hat{k})+\lambda(4 \hat{i}-2 \hat{j}+3 \hat{k})$ is parallel to the plane $\vec{r} \cdot(5 \hat{i}+4 \hat{j}-4 \hat{k})-7$.

Solution:

Hence, the given line is parallel to the given plane.