If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respectively then the position vector of C in AB produced such that 2 AC = 3 AB is

If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then the position of vector of C in AB produced such that AC = 2 AB is

If veca and vecb are position vectors of the points A and B respectively, then position vector of a point C in AB produced such that AC = 3AB is :

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

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

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that vec AC=3vec AB is

If the position vectors of A and B are 3i - 2j + k and 2i + 4j - 3k then |vec(A)B|

If a and b are position vectors of A and B respectively the position vector of a point C on AB produced such that vec(AC)=3 vec(AB) is