Consider a triangular pyramid ABCD the position vectors of whone agular points are `A(3,0,1),B(-1,4,1),C(5,3, 2) and D(0,-5,4)` Let G be the point of intersection of the medians of the triangle BCT. The length of the vector `bar(AG)` is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. The length of the perpendicular from the vertex D on the opposite face is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Area of the triangle(ABC) (in sq. units) is

Consider a triangulat pyramid ABCD the position vector of whose angular points are A(3, 0, 1), B(-1, 4, 1), C(5, 2, 3) and D(0, -5, 4) . Let G be the point of intersection of the medians of the triangle(BCD) . Q. Equation of the plane ABC is

Find the point of intersection of the medians of a triangle whose vertices are : (-1,0) , (5,-2) and (8,2) .

A(1,2,5),B(5,7,9), and C(3,2,-1), are given three points.A unit Vector normal to the plane of the triangle ABC.

If four point A(1,0,3),B(-1,3,4),C(1,2;1) and D(k,2,5) are coplanar,then k=

Find the vector from the origin to the intersection of the medians of the triangle whose vertices are A(-1,-3) B (5,7) and C(2,5) .

Find the vector from the origin to the intersection of the medians of the triangle whose vertices are A(-1,-3),B(5,7) and C(2,5)