The position vectors of four points P,Q,R annd S are 2a+4c,5a+`3sqrt(3)b+4c,-2sqrt(3)b+c and 2a+c` respectively, prove that PQ is parallel to RS.

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.

The position vector of four points A, B, C and D are a,b,c and d respectively . If a- b = 2(d-c) the

If the position vectors of the points A,B,C are bara,barb and 3bara-2barb respectively, then the position A,B,C are

If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are vec a,vec b,vec c respectively compute vec a+2vec b-3vec c

If the position vector of three points are a - 2b + 3c, 2a + 3b - 4c, - 7b + 10 c, then the three points are

If vec a,vec b and vec c are the position vectors of the points A(2,3,-4),B(3,-4,-5) and C(3,2,-3) respectively,then |vec a+vec b+vec c| is equal to