If the vertices A,B, C of a triangle ABC are (1,2,3),(-1, 0,0), (0, 1,2), respectively, then find `angle ABC`.

If either vector A,B,C of a triangle ABC are (1,2,3),(-1,0,0),(0,1,2), respectively , then find angleABC.[angleABC is the angle between the vectors vec(BA)andvec(BC) ].

The coordinates of the vertices Ba n dC of a triangle A B C are (2, 0) and (8, 0), respectively. Vertex A is moving in such a way that 4tanB/2tanC/2=1. Then find the locus of A

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

The volume of a right triangular prism ABCA_1B_1C_1 is equal to 3. If the position vectors of the vertices of thebase ABC are A(1, 0, 1), B(2,0, 0) and C(O, 1, 0) , then position vectors of the vertex A_1 , can be

Find the area of the triangle vertices are (0, 0), (3, 0) and (0, 2)

The vertices of a triangle are A(3, 7), B(3, 4) and C(5, 4). The equation of the bisector of the angle /_ABC is

The area of the triangle ABC whose vertices are (2,1) (-3,4) (6,2) is :

The centroid of a triangle ABC is at the point (1,1,1) . If the coordinates of A and B are (3,-5,7) and (-1,7,-6) , respectively, find the coordinates of the point C.

If the vertices of a triangle are (sqrt(5,)0) , ( sqrt(3),sqrt(2)) , and (2,1) , then the orthocentre of the triangle is (sqrt(5),0) (b) (0,0) (c) (sqrt(5)+sqrt(3)+2,sqrt(2)+1) (d) none of these