Show that the position vector of the point P, which divides the line joining the points A and B having position vector a and b internally in the ratio:
m:n is `(mvecb + nveca)/(m+n)`

Show that the position vector of the point P, which divides the line joining the points A and B having position vectors veca and vecb internally in ratio m:n is (mvecb+nveca)/(m+n)

Show that the position vector of the point P, which divides the line joining the points A and B having position vectors veca and vecb internally in the ratio m: n" is "(mvecb+nveca)/(m+n)

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

The position vector of a point laying on the line joining the points whose position vectors are i+j-k and i-j+k is

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

Find the coordinates of the point which divides the line joining the points (1,6) and (4,3) in the ratio 1:2 .

Find the co-ordinates of the point P which divides the line segment joining the points A ( 1, - 2 ,3 ) and B ( 3 , 4 - 5 ) internally in the ratio 2 : 3

Find the position vectors of the points which divide the join of the points 2 vec a-3 vec b a n d 3 vec a-2 vec b internally and externally in the ratio 2:3 .

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