If `A ,\ B ,\ C` have position vectors (0, 1, 1), (3, 1, 5), (0, 3, 3) respectively, show that `"Delta"A B C` is right angled at `Cdot`

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

Values of a for which the points A, B, C with position vectors 2i - j+k, i - 3j - 5k and ai - 3j +k, respectively, are the vertices of a right angled triangle with C = (pi)/2 are

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.

If the vertices A, B, C of a triangle ABC are (1," "2," "3)," "(1," "0," "0)," "(0," "1," "2) , respectively, then find /_A B C . [/_A B C is the angle between the vectors vec( B A) and vec (B C) .

The position vectors of the 3 angular points A, B, C of a triangle are (3, 2, 3); (5, 1,-1) and (1,-2, 1) respectively. If the bisector of the angle A meets the side BC at D then the position vector of the point D are

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 .

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