Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of `triangleABC`. :- Find the coordinates of the point P on AD such that AP : PD = 2:1

Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- What do you observe ?

Let (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

Let (4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- The median from A meets BC at D. Find the coordinates of the point D.

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . Q. The area of (triangleABC) is equal to

Let A(4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- If (x_1,y_1) , B (x_2,y_2) and C (x_3,y_3) the vertices of triangleABC , find the coordinates of the centroid of the triangle.

Let A(1, 2, 3), B(0, 0, 1) and C(-1, 1, 1) are the vertices of triangleABC . The equation of altitude through B to side AC is

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD. Find the vector equations of side AB and BC and also find the coordinates of point D .