Show that line `(x-3)/2=(y+1)/-3=(z-2)/4` is perpendicular to the line `(x+2)/2=(y-4)/4=(z+5)/2`

Equation of the plane passing through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2)&(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x+5)/(2)=(y-3)/(3)=(z+1)/(1) is

Find the equation of a line passing through the point (-1,3,-2) and perpendicular to the lines: (x+2)/(-3)=(y-1)/(2)=(z+1)/5andx/1=y/2=z/3

A line L lies in the plane 2x-y-z=4 such that it is perpendicular to the line (x-2)/(2)=(y-3)/(1)=(z-4)/(5) . The line L passes through the point of intersection of the given line and given plane. Which of the following points does not satisfy line L?

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

Equation of the plane containing the straight line x/2=y/3=z/4 and perpendicular to the plane containing the straight lines x/2=y/4=z/2 and x/4=y/2=z/3 is

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 directionratios of the line which is perpendicular to the lines (x-7)/2=(y+17)/(-3)=z-6 and x+5=(y+3)/2=(z-4)/(-2) are (A) (4,5,7) (B) (4,-5,7) (C) (4,-5,-7) (D) (-4,5,7)

The directionratios of the line which is perpendicular to the lines (x-7)/2=(y+17)/(-3)=z-6 and x+5=(y+3)/2=(z-4)/(-2) are (A) (4,5,7) (B) (4,-5,7) (C) (4,-5,-7) (D) (-4,5,7)

The line (x-3)/1=(y-4)/2=(z-5)/2 cuts the plane x+y+z=17 at

If the line (x-2)/-1=(y+2)/1=(z+k)/4 is one of the angle bisector of the lines x/1=y/-2=z/3 and x/-2=y/3=z/1 then the value of k is