If a,b,c and d be the position vectors of the points A,B,C and D respectively, referred to same origin O such that no three of these points are collinear and a+c=b+d, then quadrilateral ABCD is a

If vec a , vec b , vec c , vec d are the position vector of point A , B , C and D , respectively referred to the same origin O such that no three of these point are collinear and vec a + vec c = vec b + vec d , than prove that quadrilateral A B C D is a parallelogram.

If the position vectors of the points A,B and C be a,b and 3a-2b respectively, then prove that the points A,B and C are collinear.

Find the co-ordinates of the points A,B,C and D in the given figure.

If position vector of points A,B and C are respectively hati,hatj, and hatk and AB=CX , then position vector of point X is

If a and b are position vector of two points A,B and C divides AB in ratio 2:1, then position vector of C is

If the position vectors of the points A,B and C be hati+hatj,hati-hatj and ahati+bhatj+chatk respectively, then the points A,B and C are collinear, if

If veca & vecb are the position vectors of A & B respectively and C is a point on AB produced such that AC=3AB then the position vector of C is:

If vec a and vec b are the position vectors of A and B respectively, find the position vector of a Point C in BA produced such that BC = 1.5 BA.

If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are position vectors of three points A, B, C respectively, prove that A, B, C are collinear.

ABCD is a parallelogram. If the points A , B and C are respectively : (2,3), (1,4),(1,-2) Find the coordinates of the point D.