Find the value of `lambda` such that the lines `(x-2)/6=(y-1)/lambda=(z+5)/(-4)` is perpendicular to the plane `3x-y-2z=7.`

Find the value of lambda such that line (x-2)/(6) = (y-1)/(lambda) = (z+5)/(-4) is perpendicular to the plane 3x-y-2z=7 .

The value of the lambda if the lines (2x+3y+4)+lambda(6x-y+12)=0 are

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

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

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

Find the value of lambda so that the following lines are perpendicular to each other. (x-5)/(5lambda+2)=(2-y)/5=(1-z)/(-1), x/1=(2y+1)/(4lambda)=(1-z)/(-3)

Image of line (x - 2)/3 = (y - 1)/1 = (z - 1)/(-4) in the plane x + y + z = 7 is

Find the equation of the plane passing through the point (-1,-1,2)a n d perpendicular to the planes 3x+2y-3z=1 a n d5x-4y+z=5.

Find the equation of the plane which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0.

Find the value of lambda so that the line 3x-4y= lambda may touch the circle x^2+y^2-4x-8y-5=0