Let A be the point (1,2,3) and B be a point on the line `(x-1)/-2=(y+1)/3=(z-5)/4=k` Then value of k such that line AB is perpendicular to the plane `4x+9y-18z=6` is

The value k for which the line (x-1)/(8)=(y+2)/(k)=(z-3)/(-6) is perpendicular to the plane 4x+2y-3z=5 is -

Find the point where the line (x+1)/2=(y+2)/3=(z+3)/4 meets the plane x+y+4z=6 .

The value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the plane 2x - 4y + z = 7 is

Let P(1, 2, 3) be a point in space and Q be a point on the line (x-1)/(2)=(y-3)/(5)=(z-1)/(3) such that PQ is parallel to 5x-4y+3z=1 . If the length of PQ is equal to k units, then the value of k^(2) is equal to

Let P(1, 2, 3) be a point in space and Q be a point on the line (x-1)/(2)=(y-3)/(5)=(z-1)/(3) such that PQ is parallel to 5x-4y+3z=1 . If the length of PQ is equal to k units, then the value of k^(2) is equal to

Point of intersection of the line (x-1)/2 = (y-2)/3 = (z+3)/4 and the plane 2x+4y -z=1 is

Find the equation of the plane through the point (2, -1, -1), parallel to the line (x-1)/1=(y-3)/3=(z-2)/2 and perpendicular to the plane x - 2y - 3z - 4 = 0.