A line is drawn from the point `P(1, 1, 1)` and perpendicular to a line with direction ratio `(1, 1, 1)` to intersect the plane `x +2y +3z =4` at `Q.` The locus of point `Q` is :

A line is drawn from the point P (1,1,1) and Perpendicular to a line with direction ratios (1,1,1) to intersect the plane x + 2y + 3z = 4 at Q. The locus of point Q is

A line is drawn from the point P(1,1,1) and perpendicular to a line with direction ratio (1,1,1,1,1) to intersect the plane x+2y+3z=4 at Q. The locus of point Q is

A line is drawn from the point P(1,1,1)and perpendicular to a line with direction ratios, (1,1,1) to intersect the plane x+2y+3z=4 at Q. The locus of point Q is

A line joining the points (1,1,1) and (2,2,2) intersect the plane x+y+z=9 at the point

How far is the point (4, 1, 1) from the line of intersection of the planes x + y + z = 4, x - 2y - z = 4.

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

Let P_1:2x+y-z=3 and P_2: x+2y+z=2 be two planes. Then, which of the following statement(s) is (are) TRUE? The line of intersection of P_1 and P_2 has direction ratios 1, 2, -1 (b) The line (3x-4)/9=(1-3y)/9=z/3 is perpendicular to the line of intersection of P_1 and P_2 (c) The acute angle between P_1 and P_2 is 60o (d) If P_3 is the plane passing through the point (4, 2, -2) and perpendicular to the line of intersection of P_1 and P_2 , then the distance of the point (2, 1, 1) from the plane P_3 is 2/(sqrt(3))