If two unit vectors `vec(p) and vec(q)` make an angle `(pi)/(3)` with each other, what is the magnitude of `vec(p)-(1)/(2) vec(q)` ?

Two vectors vec P and vec Q

Two vectors vec(a) and vec(b) are at an angle of 60^(@) with each other . Their resultant makes an angle of 45^(@) with vec(a) If |vec(b)|=2 unit , then |vec(a)| is

Two vectors vec(a) and vec(b) are at an angle of 60^(@) with each other . Their resultant makes an angle of 45^(@) with vec(a) If |vec(b)|=2 unit , then |vec(a)| is

Two vectors vec P and vec Q are inclinded to each other at 60^(@) . The magnitude of vec P and vec Q are 10 and 15 units respectively. What is the angle (alpha) made by their resultant vec R" with "vec P ?

The magnitude of the resultant vec R of two forces vec P and vec Q" is 20 N. "vec R make an angle of 30^(@) with vec P and an angle of 60^(@) with vec Q . What are the magnitudes of vec P and vec Q ?

If vec(P).vec(Q)=1 , then what is the angle between vec(P) and vec(Q) ?

If vec(P).vec(Q) = 0 , then what is the angle between vec(P) and vec(Q) ?

If vec(P) and vec(q) are two unit vectors and the angle between them is 60^(@) then ((1+vec(p).vec(q))/(1-vec(p).vec(q))) is

The resultant of two vectors vec(P) and vec(Q) is vec(R) . If vec(Q) is doubled then the new resultant vector is perpendicular to vec(P) . Then magnitude of vec(R) is :-