The plane `x-2y+7z+21=0` (A) contains the line `(x+1)/(-3)=(y-3)/2=(z+2)/1` (B) contains the point (0,7,-1) (C) is perpendicular to the line `x / 1=y/(-2)=z/7` (D) is parallel to the plane `x-2y+7z=0`

Show that the plane x-5y-2z =1 contains the line (x-5)/3 = y = 2- z

Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+2)/(-2) and the point (0,7,-7) and show that the line x/1=(y-7)/(-3)=(z+7)/2 also lies in the same plane.

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

Statement 1: The lines (x-1)/1=y/(-1)=(z+1)/1 and (x-2)/2=(y+1)/2=z/3 are coplanar and the equation of the plnae containing them is 5x+2y-3z-8=0 Statement 2: The line (x-2)/1=(y+1)/2=z/3 is perpendicular to the plane 3x+5y+9z-8=0 and parallel to the plane x+y-z=0

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

The line (x-x_1)/0=(y-y_1)/1=(z-z_1)/2 is (A) parallel to x-axis (B) perpendicular to x-axis (C) perpendiculat to YOZ plane (D) parallel to y-axis

Show that the lines (x-1)/(1) = (y)/(-5) = z/3 and (x+1)/(7) = (y)/(2) - (z-3)/(1) are perpendicular.

Write the equation of the plane passing through (2, -1,1) and parallel to the plane 3x+2y-z=7.

Find the angle between the lines (x+1)/(2)=(y)/(3)=(z-3)/(6) and the planes 3x+y+z=7 .