If `A; B; C` have position vectors `(2, 0, 0); (0, 1, 0); (0, 0, 2)` Show that triangle ABC is isosceles.

If A,B,C have position vectors (2,0,0),(0,1,0),(0,0,2), show that ABC is isosceles.

If A,B,C have position vectors (0,1,1), (3,1,5),(0,3,3) respectively,show that Delta ABC is right angled at C.

If A,B,C have position vectors (0,1,1)(3,1,5),(0,3,3), respectively,then show that Delta ABC is right angled at C.

If the three successive vertices of a parallelogram have the position vectors as, A(–3, –2, 0), B(3, –3, 1) and C(5, 0, 2). Then find Position vector of the fourth vertex D

The area of the triangle formed by A (1, 0, 0), B(0, 1, 0), C(1, 1, 1) is

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 .

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) .

Let A(0, 1, 1), B(3, 1, 5) and C(0, 3, 3) be the vertices of a triangle ABC . Using vectors, show that triangle ABC is right angled at C.

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?