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

The volume of a tetrahedron prism ABCA_1B_1C_1 is equal to 3. Find the coordinates of the vertex A_1 , if the coordinate of the base vertices of the prism are A(1, 0, 1), B(2, 0, 0) and C(0, 1, 0) .

The volume of a tetrahedron prism ABCA_1B_1C_1 is equal to 3. Find the coordinates of the vertex A_1 , if the coordinate of the base vertices of the prism are A(1, 0, 1), B(2, 0, 0) and C(0, 1, 0) .

The vertices of a Delta ABC are A (2, 3, 1), B (-2, 2, 0) and C(0, 1, -1) . What is the cosine of angle ABC?

If the position vectors of the vertices a, B and C of a Triangle ABC be (1, 2, 3), (-1, 0, 0) and (0, 1, 2) respectively then find angleABC .

Using vectors find the area of the triangle ABC with vertices A(1,0,3),B(2,1,4) and C(4,3,1).

The volume of a right triangular prism ABC A_(1)B_(1)C_(1) is equal to 3 cubic unit. Then the co-ordinates of the vertex A_(1) ,if the co-ordinates of the base vertices of the prism are A(1,0,1), B(2,0,0) and C(0,1,0), are

The vertices of a triangle ABC are A (2,3,1) , B(-2, 2,0), and C(0,1,-1). What is the cosine of angle ABC ?

Find the position vector of the centroid of the Delta ABC when the position vectors of its vertices are A(1, 3, 0), B(2, 1, 1) and C(0,-1, 0) .

Find the position vector of the centroid of the /_\ABC when the position vectors of its vertices are A(1,3,0),B(2,1,1) and C(0,-1,0).

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 .