Find the equation of the line passing through the points A(0,6,-9) and B(-3,-6,3). If D is the foot of the perpendicular drawn a point C(7,4,-1) on the line AB, then find the coordinates of the point D and the equation of line CD.

Answer

`(x)/(1)=(y-6)/(4)=(z+9)/(-4);(1,0,7);(x-7)/(4)=(y-4)/(1)=(z+1)/(2)`