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.

If centroid of a triangle be (1, 4) and the coordinates of its any two vertices are (4, -8) and (-9, 7), find the area of the triangle.

In a triangle, ABC, the equation of the perpendicular bisector of AC is 3x - 2y + 8 = 0 . If the coordinates of the points A and B are (1, -1) & (3, 1) respectively, then the equation of the line BC will be

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.

ABCD is a parallelogram. If the points A , B and C are respectively : (1,2), (5,4),(3,8) Find the coordinates of the point D.

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

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.

ABC is an isosceles triangle. If the coordinates of the base are B(1, 3) and C(-2, 7). The coordinates of vertex A can be

The mid-points of the sides of a triangle are (5,7,11),(0,8,5) and (2,3,-1). Find the coordinates of the vertices of the triangle.

A triangle ABC right angled at A has points A and B as (2, 3) and (0, -1) respectively. If BC = 5 units, then the point C is

Let the area of a given triangle ABC be Delta . Points A_1, B_1, and C_1 , are the mid points of the sides BC,CA and AB respectively. Point A_2 is the mid point of CA_1 . Lines C_1A_1 and A A_2 meet the median BB_1 points E and D respectively. If Delta_1 be the area of the quadrilateral A_1A_2DE , using vectors or otherwise find the value of Delta_1/Delta