The conditions under which the vector `vec P + vec Q and vec P - vec Q` will be at right angles to each other is

Two vectors vec P and vec Q

The angle between vecP and the resultant of ( vec P + vec Q) and ( vec P - vec Q) is

A parallelogram has two adjacent sides which represent the vectors 5vec p + 2 vec q and vec p - 3 vec q where |vec p| = 2 sqrt 2, | vec q|= 3 and vec p, vec q are inclined at an angle pi/4 . Then the length of the shorter diagonal is ______.

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

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

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

For three vectors vec p,vec q and vec r if vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

What can be the angle between (vec(P) + vec(Q)) and (vec(P) - vec(Q)) ?

What can be the angle between (vec(P) + vec(Q)) and (vec(P) - vec(Q)) ?