A line L is passing through the point P(0,1,−1) and perpendicular to both the lines x−22=y−41=z+24 and x+23=y+42=z−2−2. If the position vector of point Q on line L is (a,b,c) such that (PQ)2=357, then possible value of a+2b+3c is

A line L is passing through the point P(0,1,−1) and perpendicular to

1.	A line L is passing through the point P(0,1,−1) and perpendicular to both the lines x−22=y−41=z+24 and x+23=y+42=z−2−2. If the position vector of point Q on line L is (a,b,c) such that (PQ)2=357, then possible value of a+2b+3c is
Answer» A line $L$ is passing through the point $P (0, 1, - 1)$ and perpendicular to both the lines $\frac{x - 2}{2} = \frac{y - 4}{1} = \frac{z + 2}{4}$ and $\frac{x + 2}{3} = \frac{y + 4}{2} = \frac{z - 2}{- 2} .$ If the position vector of point $Q$ on line $L$ is $(a, b, c)$ such that $(P Q)^{2} = 357,$ then possible value of $a + 2 b + 3 c$ is