Define position vector.

Define the position vector of a point with respect to an origin. If vec(a) " and " vec(b) are the position vectors of the points P and Q respectively, find the vector vec(PQ) in terms of vec(a) " and " vec(b) .

The position vector of a point A is veca+2vecb and veca divides AB internally in the ratio 2:3 , then the position vector of the point B is -

The position vectors of the three vertices of a triangle are (-hati-3hatj+2hatk), (5hati+7hatj-5hatk) and (2hati+5hatj+6hatk) , then the position vector of the point of intersection of the medians of the triangle is -

Define cloning vector. Give example.

What is the position vector of the origin of a coordinate system ?

Let C be the midpoint of the line-segment joining the points A and B , if vec(a) " and " vec(c) are the position vectors of the points A and C respetively, then the position vector of the vector of the point B will be -

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

If vec(a)=4vec(i)-3hat(j) " and " vec(b)=-2hat(i)+5hat(j) are the position vectors of the points A and B respectively, find (i) the position vector of the middle point of the line-segment bar(AB) , (ii) the position vectors of the points of trisection of the line-segment bar(AB) .

Let vec(a) " and " vec(b) be the position vectors of two given points P and Q respectively. To find the position vector of the point R which divides the line segment bar(PQ) internally in the ratio m:n.