If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of the points of trisection are

If the position vectors of A, B are 2i + 3j + k and 3i - j + 4k repectively then the position vector of the point which divides AB in the ratio 3 : 2 is

If the position vectors of A, B are i + j + k and i + j - 4k repectively then the position vector of the point which divides bar(AB) in the ratio 2 : 3 is

The position vector of the centroid of the Delta ABC is 2i + 4j + 2k . If the position vector of the vertex A is 2i + 6j + 4k, then the position vector of midpoint of BC is a)2i + 3j + k b)2i + 3j - k c)2i - 3j - k d) -2i - 3j - k

If 4i+7j+8k , 2i+3j+4k and 2i+5j+7k are the position vectors of the vertices A,B and C of triangle ABC ,The position vector of the point where the bisector of /_A meets BC is

If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then the unit vector in the direction of vec(A)B is

The positon vector of the centroid of the triangle ABC is 2i+4j+2k . If the position vector of the vector A is 2i+6j+4k., then the position vector of midpointof BC is (A) 2i+3j+k (B) 2i+3jk (C) 2i-3j-k (D) -2i-3j-k