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 |vec P|gt|vec Q| , what is the angle between the maximum resultant and minimum resultant of the two vectors vec P and vec Q ?

The maximum magnitude of the resultant of two vectors, vec(P) and vec(Q) ("where" Pgt Q) is x times the minimum magnitude ot the resultant. When the angle between vec(P) and vec(Q)" ""is" " "theta , the magnitude of the resultant is equal to half the sum of the magnitudes of the two vectors. Prove that, cos theta =(x^2+2)/(2(1-x^2))*

Resultant of two vectors vec(3p) and vec(2p) is R. If first vector is doubled then the resultant is also doubled. Calculate the angle between the two vectors.

The resultant of two vectors vec A and vec B is perpendicular to the vector vec A and its magnitude is equal to half the magnitude of vector vec B . What is the angle between vec A and vec B ?

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 _____.

Let vec a . vec b be two unit vectors and theta is the angle between them. Then vec a + vec b is a unit vector if