Let the opposite angular points of a square be (3, 4) and (1, -1). Find the coordinates of the remaining angular points.

Find the coordinates of given points. .

Find the coordinates of given points. .

The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of other two vertices.

ABCD is a parallelogram. If the points A , B and C are respectively : (2,3), (1,4),(1,-2) Find the coordinates of the point D.

The centroid of a triangle ABC is at the point (1,1,1). If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively, find the coordinats of the point C.

A point R with x-coordinate 4 lies on the line segment joining the points P(2, -3, 4) and Q (8, 0, 10). Find the coordinates of the point R. [Hint Suppose R divides PQ in the ratio k :1. The coordinates of the point R are given by ((8k+2)/(k+1), (-3)/(k+1), (10k+4)/(k+1)) .

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.

Plot the points P(1,0),Q(4,0), and S(1,3). Find the coordinates of the point R such that PQRS is a square.

ABCD is a parallelogram. If the points A , B and C are respectively : (-2,-1), (3,0),(0,-2) Find the coordinates of the point D.