A line with directional cosines prontional to `2, 1,2` meets each of the lines `x = y + a = z and x+ a = 2y = 2z`. The coordinates of each of the points deintersection are given by

A line with direction cosines proportional to 2,1,2 meet each of the lines x=y+a=z and x+a=2y=2z . The coordinastes of each of the points of intersection are given by (A) (3a,2a,3a),(a,a,2a) (B) (3a,2a,3a),(a,a,a0 (C) (3a,3a,3a),(a,a,a) (D) 92a,3a,3a),(2a,a,a0

A line with direction cosines proportional to 1,-5, and -2 meets lines x=y+5=z+1 and x+5=3y=2z .The coordinates of each of the points of the intersection are given by a.(2,-3,1) b.(1,2,3) c.(0,5/3,5/2) d.(3,-2,2)

If a line with direction ratios (1,1,2) intersects the lines x=y+b=z and x+b=2y=z then the coordinates of the points of intersection respectively are given by

The direction cosines of the line x = y = z are

Show that the lines x=-y =2z " and " x+2 =2y -1 =-z +1 are perpendicular to each other .

The direction cosines of the line 6x-2=3y+1=2z-2 are

The directions cosines of the normal to the plane 2x-y +2z =3 are

The point of interesection of the line x = y = z with the plane x + 2y + 3z = 6 is (1,1,-1).