A(1,-2,3),B(2,1,3),C(4,2,1) and G(-1,3,5) is the centroid of the tetrahedron ABCD if `P=D_(y)` and `q=D_(z)` then `13p-11q=`

In the tetrahedron ABCD, A=(1,2,-3) and G(-3,4,5) is the centroid of the tetrahedron. If P is the centroid of the Delta BCD then AP=

A=(1,-1,2),G=(3,1,1) are one vertex and centroid of tetrahedron ABCD and G_(1) is the centroid of /_BCD then AG_(1)=

A=(1,-1,2),G=(3,1,1) are one vertex and centroid of tetrahedron ABCD and G_1 ,is the centroid of DeltaBCD then AG_(1)=

P,Q,R,S are feet of perpendiculars from A(1,1,2),B(2,1,3),C(2,2,4),D(1,2,3) on XY-plane then the area of the quadrilateral PQRS can be

The centroid of a triangle formed by (2,p),(q,7),(3,1) is (6,3) .then p+q is

If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices A(5, 1, p), B(1,q, p), C(1, -2, 3) , then

A (3,-1), B(1,3), C(2,4) are vertices of triangleABC if D is centroid of triangleABC and P is point of intersection of lines x + 3y - 1 = 0 and 3x - y + 1 = 0 then which of the following points lies on line joining D and P

If P =[(3,4),(-1,2),(0,1)] and Q = [(-1, 2,1),(1,2,3)] , then (P^(T) + Q)=