Find the equation of the plane perpendicular to the line `(x-1)/2=(y-3)/(-1)=(z-4)/2` and passing through the origin.

Find the equation of a line perpendicular to the line x - 2y + 3 = 0 and passing through the point (1, -2) .

Find the equation of the line perpendicular to the line x/a-y/b=1 and passing through a point at which it cuts the x-axis.

Find the equation of the straight line perpendicular to the line joining the points (2,3) and (3,-1) and passing through the points (2,1).

Find the equation of the plane passing through the line (x-1)/(5)=(y+2)/(6)=(z-3)/(4) and point (4, 3, 7) .

Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9 .

Find the equation of the plane passing through the straight line (x-1)/2=(y+2)/(-3)=z/5 and perpendicular to the plane x-y+z+2=0.

answer any one question : (ii) find the equation of the line which is perpendicular to both of the lines x/2=y/1=z/3 and (x-3)/-1 =(y-2)/3=(z+5)/5 and passing through the point (1,2,3)

Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular to the line l whose equation is (x-2)/1=(y-2)/(-1)=(z-3)/(-2) and which passes through the point of intersection of l and pi is (A) (x-2)/1=(y-1)/5=(z-1)/(-1) (B) (x-1)/3=(y-3)/5=(z-5)/(-1) (C) (x+2)/2=(y+1)/(-1)=(z+1)/1 (D) (x-2)/2=(y-1)/(-1)=(z-1)/1

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1) and (x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

Find the equation of the line passing through the point (-1,2,3) and perpendicular to the lines x/2=(y-1)/(-3)=(z+2)/(-2)a n d(x+3)/(-1)=(y+3)/2=(z-1)/3dot