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A line $l_1$, has an equation $r=i-j-3k+\lambda (i+4j-k)$ and the line $l_2$, passes through the points $A(0;6;6)$ and$B(8;-6;-34)$

1. Find the vector equation of $l_2$ and show that the lines $l_1$ and $l_2$ are perpendicular to each other.
2. Find the cartesian equation of the plane, $\pi$ which contains both $l_1$ and $l_2$ and also calculate the distance of the point $P(1;-7;1)$ from the plane $\pi$.
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