find the positio vectors of the ponts which divide the join of points `2veca-3vecb and 3veca-2vecb` internally and externallyin the ratio 2:3.

Find the position vector of the points which divide the join of the points 5veca-4vecb and 4veca-5vecb internally and externally in the ratio 4:3 respectively.

The position vector of the point which divides the join of points 2veca-3vecbandveca+vecb in the ratio 3:1, is

Find the position vector of the point which divides the join of the points (2veca - 3vecb) and (3veca - 2vecb) (i) internally and (ii) externally in the ratio 2 : 3 .

Let veca,vecb be the position vectors of points A and B with respect to and |veca|=a,|vecb|=b . The points Cand D divide AB internally and externally in the ratio 2: 3 respectively. If vec(OC)andvec(OD) are perpendicular, then

The position vectors of two points A and B are 3veca+2vecb and 2veca-vecb respectively. Find the vector vec(AB)

veca, vecb, vecc are the position vectors of the three points A,B,C respectiveluy. The point P divides the ilne segment AB internally in the ratio 2:1 and the point Q divides the lines segment BC externally in the ratio 3:2 show that 3vec)PQ) = -veca-8vecb+9vecc .

The position vector of two points A and B are 6veca+2vecb and veca-3vecb. If point C divides AB in the ratio 3:2 then show that the position vector of C is 3veca-vecb

Consider tow points P and Q with positn vecfors vec(OP)=3veca-2vecb and vec(OQ)=veca+vecb . Find the position vector of point R which dicides the joining P and Q in the ratio 2:1: internally

Show that the points veca+2vecb+3c-2veca+3vecb+5vecc and 7veca-vecc are colinear.