Show, by vector methods, that the angularbisectors of a triangle are concurrent and find an expression for the position vector of the point of concurrency in terms of the position vectors of the vertices.

By vector method prove that the three medians of a triangle are concurrent.

Define position vector.

By vector method show that , the perpendicular bsectors of the sides of a triangle are concurrent .

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

Position vector of the point A - position vector of the point B is -

Using vector method show that the diagonals of a rhombus are at right angles .

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) .

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 -