The position vector of A , B are `vec a and vec b ` respectively. The position vector of C is `(5 vec a/3)- vec b`then

The position vectors of the points A,B,C are vec a, vec b, vec c respectively. If 3 vec a + 2 vec c= 5 vecb , are the points A,B,and C collinear? If so find AB:BC .

If vec(b) and vec(c) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD) = 4 vec(BC) is

If vec(b) and vec(c ) are the position vectors of the points B and C respectively, then the position vector of the point D such that vec(BD)= 4 vec(BC) is

If veca and vecb are position vectors of A and B respectively, then the position vector of a point C in vec(AB) produced such that vec(AC) =2015 vec(AB) 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

P is a point on the line through the point A whose position vector is vec a and the line is parallel to the vector vec b. If PA=6, the position vector of P is: (a) vec a+6vec b (b) vec a+(6)/(|vec b|)vec b(c)vec a-6(vec b)/(|vec b|) (d) vec b+(6)/(|vec a|)vec a

The position vectors of A,B,C and D are vec a,vec b,vec 2a+vec 3b and vec a-vec 2b respectively show that vec DB=3vec b-vec a and vec AC=vec a+vec 3b

A and B are two points with position vectors 2vec(a)-3vec(b) and 6vec(b)-vec(a) respectively. Write the position vector of a point, which divides the line segment AB internally in the ratio 1 : 2.

If vec(a) and vec(b) are position vectors of the points A and B respectively, then what is the position vector of a point C on AB produced such that vec(AC) = vec(2AB) ?

If vec a and vec b are position vectors of A and B respectively,find the position vector of a point Con BA produced such that BC=1.5BA