A line `L` passing through the point `P(0,1-1),` and is perpendicular to both the lines `(x-2)/2=(y-4)/1=(z+2)/4 and (x+2)/3=(y+4)/2=(z-1)/- 2.` If the position vector of point `Q` on `L` is `(a,b,c)` such that `(PQ)^2=357,` then `a+2b+3c` is equal to (A) 26 (B) 24 (C) -24 (D) 7

A line L passing through the point P[1,4,3] is perpendicular to both the lines (x-1)/2=(y+2)/3=(z+1)/5 and (x+2)/2=(y-4)/1=(z+1)/3

A line L passing through the point P(1,4,3), is perpendicular to both lines (x-1)/2=(y+3)/2=(z-2)/4a n d(x+2)/3=(y-4)/2=(z+1)/(-2) If the co-ordinate of any point Q on L is (a_1, a_2, a_3) such that (P Q)^2=357 ,t h e n(a_1+a_2+a_3) can be

A line L passing through the point P(1,4,3), is perpendicular to both lines (x-1)/2=(y+3)/2=(z-2)/4a n d(x+2)/3=(y-4)/2=(z+1)/(-2) If the co-ordinate of any point QonLi s(a_1, a_2, a_3) such that (P Q)^2=357 ,t h e n(a_1+a_2+a_3) can be

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is

The lines x-1=y=z is perpendicular to the line.....a) (x-2)/1=(y-1)/2=z/-3 b) x-2=y-2=z c) (x-2)/1=(y-1)/2=z/3 d)x=y=z/2

(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .

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

The equation of the line passing through (2,-4) and perpendicular form the point (2,4) on the line x+y=1 is