If `D(x_(1),y_(1),z_(1)), E(x_(2),y_(2),z_(2))` and `F(x_(3),y_(3),z_(3))` are the midpoints of the sides BC, CA and AB respectively of a triangle, find its vertices A, B and C.

A (x_(1),y_(1),z_(1)), B(x_(2),y_(2),z_(2)) are two points. Then the lenghts of projection on

If (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_3), z_(3)) are the vertices of an equilateral triangle such that (x_(1)-2)^(2)+(y_(1)-3)^(2)+(z_(1)-4)^(2)=(x_(2)-2)^(2)+(y_(2)-3)^(2)+(z_(2)-4)^(2)=(x_(3)-2)^(3)+(y_(3)-3)^(2)+(z_(3)-4)^(2) then sum x_(1)+2sumy_(1)+3sum z_(1)=

If (x_(1),y_1,z_1) and (x_2,y_2,z_2) are two vertices and (alpha, beta, gamma) is the centroid of a triangle, find the third vertex of the triangle.

If z_1,z_2,z_3 are the vertices of a triangle then its centroid is

Let A (x_(1),y_(1) ) , B(x_(2),y_(2)) , C (x_(3) , y_(3)) . Then find the area of the following triangles in a plane . And discuss with your friends in groups about the area of that triangle

Let A (x_(1),y_(1) ) , B(x_(2),y_(2)) , C (x_(3) , y_(3)) . Then find the area of the following triangles in a plane . And discuss with your friends in groups about the area of that triangle

Let A (x_(1),y_(1) ) , B(x_(2),y_(2)) , C (x_(3) , y_(3)) . Then find the area of the following triangles in a plane . And discuss with your friends in groups about the area of that triangle

If |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|=|(a_(1),b_(1),1),(a_(2),b_(2),1),(a_(3),b_(3),1)| , then the two triangles with vertices (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) and (a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3)) must be