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` ?

If vec P and vec Q are two vectors, then the value of (vec P + vec Q) xx (vec P - vec Q) is

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

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) ?

The angle between two vectors vec P and vec Q of magnitudes 3 and 5 units is 60^(@) . What is the dot product of the two vectors ?

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

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

The maximum value of the magnitude of the resultant of two vectors vec P and vec Q is 24 units and the minimum value of the magnitude of their resultant is 4 units. What is the ratio of the magnitudes of the vectors vec P and vec Q ?

What is the angle between vec(P) and the resultant of (vec(P)+vec(Q)) and (vec(P)-vec(Q)) ?

What is the angle between vec(P) and the resultant of (vec(P)+vec(Q)) and (vec(P)-vec(Q)) ?

Two vectors vec(P) " and "vec(Q) are added, the magnitude of resultant is 15 units. If vec(Q) is reversed and added to vec(P) resultant has a magnitude sqrt(113) units. The resultant of vec(P) and a vector perpendicular vec(P) and equal in magnitude to vec(Q) has a magnitude