If \(|A+ B|=A.B\), What is the angle between A and B?

What is the angle between A and B, if A and B denote the adjacent sides of a parallelogram drawn from a point and the area of the parallelogram is 1/2 AB?

When the sum of the two vectors maximum and minimum?

If,\(|A+B|=|A-B|\) What is the angle between  A and B?

Explain the property of two vectors A and B if \(|\mathbf{A}+\mathbf{B}|=|\mathbf{A}-\mathbf{B}|\)

Two forces 5 kg-wt.and 10 kg-wt.are acting with an inclination of 120^o between them.Find the angle when the resultat makes with 10kg-wt

The sum and difference of two vectors are perpendicular to each other.Prove that the vector are equal in magnitude

If unit vector \(\hat { a } \) and \(\hat { b } \) are inclined at angle then prove that \(\left| \hat { a } -\hat { b } \right| =2sin\quad \frac { \theta }{ 2 } \)

An aircraft flying horizontally at a height of 2km  with a speed 200m/s passes directly over head an anti-aircraft gun.At what angle from the vertical should the gun be fired so that a shell with muzzle speed 600m/s may hit the plane? Calculate the safe height of the plane so that the shell may not hit it. Take g=10m/s²

Find the angle made by vector, \(A=2\hat { i } +2\hat { j } \)  with x-axis

A motorboat is racing towards north at 25 km/h and the water current in that region is 10 km/h in the direction of 60° east of south. Find the resultant velocity of the boat.

A fighter plane flying horizontally at an altitude of 1.5 km with speed 720 km h^-1 passes directly overhead an anti-aircraft gun. At what angle from the vertical should the gun be fired for the shell with muzzle speed 600 m S^-1 to hit the plane? At what minimum altitude should the pilot fly the plane to avoid being hit? (Take g = 10 m S^-2)?