A plane $\pi$ contains the line r = i + $3$j - k +$\lambda(2$i - j + k). If $\pi$ is parallel to $3$i - $4$j, how to find the vector equation of $\pi$?
I know that parallel planes have the same perpendicular vector. But I don’t seem to see how to find any normal vectors to the plane. I can’t cross product two lines, can I? So, how should I solve this question? Thanks