If `z_1, z_2, z_3` be the affixes of the vertices `A, B Mand C` of a triangle having centroid at G such ;that `z = 0` is the mid point of AG then `4z_1 + Z_2 + Z_3 =`

If z_(1),z_(2),z_(3) are the affixes of the vertices of a triangle having its circumcenter at the origin. If z is the affix of its orthocenter, then

If z_(1),z_(2)andz_(3) are the affixes of the vertices of a triangle having its circumcentre at the origin. If zis the affix of its orthocentre, prove that Z_(1)+Z_(2)+Z_(3)-Z=0.

Suppose z_(1), z_(2), z_(3) represent the vertices A, B and C respectively of a Delta ABC with centroid at G. If the mid point of AG is the origin, then

If z_(1), z_(2),z_(3) represent the vertices of a triangle, then the centroid of the triangle is given by

Find the relation if z_(1),z_(2),z_(3),z_(4) are the affixes of the vertices of a parallelogram taken in order.