The resultant vector of `vec(P)` and `vec(Q)` is `vec(R)`. On reversing the direction of `vec(Q)`, the resultant vector becomes `vec(S)`. Show that : `R^(2) +S^(2) = 2(P^(2)+Q^(2))`

Two vectors vec P and vec Q

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

The greatest resultant of two vectors vec P and vec Q is (n) times their least reast resultant. Fiven | vec P | gt |vec Q| . When theta is the angle between the two vectors, their resultant is half the sum of the two vectors. Show that, cos theta =- (n^(2) +2) // (n n^(2) -1) .

If the resultant of two vectors vec P and vec Q is given by R^(2) = P^(2) + Q^(2) , then the angle between the vectors vec P and vec Q is _____.

The resultant vec(P) and vec(Q) is perpendicular to vec(P) . What is the angle between vec(P) and vec(Q) ?

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

The resultant of forces vecP and vec Q is vecR . If vec Q is doubled the vecR is doubled . If the direction of vec Q is reversed , then vec R is again doubled , then P^2 : Q^2 : R^2 is