If O is the origin and the coordinates of P be (1,2,-3) , then find the equation of the plane passing through P and perpendicular to OP.

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3)dot Find the equation of the plane. or If O is the origin and the coordinates of P is (1,2,-3), then find the equation of the plane passing through P and perpendicular to O Pdot

Find the equation of the lines passing through the point (1,1) and (-2,3)

Consider the points A(-2, -3) and B(1,6). i. Find the equation of the line passing through A and B. ii. Find the equation of the line passing through (2, 1) and perpendicular to AB iii. Find the foot of the above perpendicular to AB.

The equation of the line passing through origin and perpendicular to the line 7x – 3y + 4 = 0

Find the equation of plane passing through (2, 5, 1), (3, 4, 2) and (2,2,-1).

Find the non-parametric form of vector equation and Cartesian equation of the plane passing through the point (1,-2,4) and perpendicular to the plane x + 2y - 3z = 11 and parallel to the line (x+7)/(3)=(y+3)/(-1)=(z)/(1).

If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then find the coordinates of Pdot

Find the equation of the plane passing through the points (-1,1,1) and (1,-1,1) and perpendicular to the plane x+2y+2z=5.