Let the line L : x-1/2 = y+1/-1 = z-3/1 intersect the plane 2x + y + 3z = 16 at the point P. Let the point Q be the foot of perpendicular

Question

Let the line L : \(\frac{x-1}{2}=\frac{y+1}{-1}=\frac{z-3}{1}\) intersect the plane 2x + y + 3z = 16 at the point P. Let the point Q be the foot of perpendicular from the point R(1, –1, –3) on the line L. If α is the area of triangle PQR. then α² is equal to _________.

Answer 1

Correct answer is 180