`P` and `Q` are two points with position vectors `3 vec a-2 vec b` and ` vec a+ vec b` respectively. Write the position vector of a point R which divides the line segment PQ in the ratio 2:1 externally.

If the position vector of a point (-4,-3) be vec a , find |a| .

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of 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)=3 vec(AB) is

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (2\ vec a+ vec b) and ( vec a-\ 3 vec b) respectively, externally in the ratio 1:2.Also, show that P is the mid-point of the line segment R Qdot

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

Write the position vector of the point where the line vec r= vec a+lambda vec b meets the plane vec r dot (vec n)=0.

If vec a and vec b are position vectors of points Aa n dB respectively, then find the position vector of points of trisection of A B .

If the position vector of the poinot A is a+2b and a point P with position vector vec(a) divides a line segement AB in the ratio 2:3 then the position vector of the point B is

Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -2 vec a+3 vec b- vec c\ a n d\ 4 vec a-7 vec b+7 vec c are collinear.

If the position vector of a point (-4,\ -3)b e\ vec a ,\ find \ | vec a|dot