A point `C =(3veca + 4vecb-5vecc)/3` divides the line joining the points`A=veca-2vecb+3vecc` and B in the ratio 2:1, then the position vector of B is

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

If veca,vecb,vecc & vecd are position vector of point A,B,C and D respectively in 3-D space no three of A,B,C,D are colinear and satisfy the relation 3veca-2vecb+vecc-2vecd=0 then (a) A, B, C and D are coplanar (b) The line joining the points B and D divides the line joining the point A and C in the ratio of 2:1 (c) The line joining the points A and C divides the line joining the points B and D in the ratio of 1:1 (d)The four vectors veca, vecb, vec c and vecd are linearly dependent .

The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joining the points -veca-2vecb-3vecc, veca+2vecb-5vecc intersect at

The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joining the points -veca-2vecb-3vecc, veca+2vecb-5vecc intersect at

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

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

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 .

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 .

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

Show that the three points veca-2vecb+3vecc, 2veca+3vecb-4vecc and -7vecb+10vecc are collinear.