" EXAMPLE 3If "vec PO+vec OQ=vec QO+vec OR," show that the points "P,Q,R" are collinear."

If vec PO+vec OQ=vec QO+vec OR, show that the point,P,Q,R are collinear.

If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R are collinear.

If vec(PO)+vec(OQ)=vec(QO)+vec(OR) , prove that the points P, Q,R, are collinear.

If vec(PO) + vec(OQ) = vec(QO) + vec(OR) prove that the points P,Q,R are collinear .

If vec(AO)+vec(OB)=vec(BO)+vec(OC) , show that the points A, B and C are collinear.

if vec(P) xx vec(R ) = vec(Q) xx vec(R ) , then

If vec p xxvec q=vec r and vec p*vec q=c, then vec q is

Let OP,OQ, OR are three edges of a regular tetrahedron of edge length a . If vec p , vec q and vec r are the position vectors of the points P,Q and R & O is the origin then |vec p timesvec q+vec q timesvec r+vec r timesvec p| is equal to

If vec r=3vec p+4vec q and 2vec r=vec p-3vec q then