Write ` vec P Q+ vec R P+ vec Q R` in the simplified form.

If P ,Q and R are three collinear points such that vec P Q= vec a and vec Q R = vec bdot Find the vector vec P R .

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

If vec P+ vec Q = vec R and |vec P| = |vec Q| = | vec R| , then angle between vec P and vec Q is

If between vec(P),vec(Q) and vec(R) have magnitudes 5,12 and 13 units and vec(P) + vec(Q) = vec(R) , find the angle between vec(Q) and vec(R) .

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

The position vectors of P and Q are respectively a and b. If R is a point on vec(PQ) such that vec(P)R = 5 vec(P)Q , then the position vector of R 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(P) + vec(Q)| = |vec(P) - vec(Q)| , find the angle between vec(P) and vec(Q) .

If |vec(P) + vec(Q)| = |vec(P) - vec(Q)| , find the angle between vec(P) and vec(Q) .