Vectors Test - ...

What is the projection of  on ?

Which of the following quantities is scalar?

_{What will be the value of force on an electron moving with velocity  = 2.5  10⁶ m/s in a magnetic field  =  Wb/m}²_{, if charge on an electron e is 1.6  10^–19 C?}

What is the dot product of the vectors, where  =  and  = ?

There are two displacement vectors of magnitudes 3 m and 4 m. At which angle should the two vectors be added, so that the magnitude of the resultant vector would be 7 m?

Which of the following quantities can never be negative?

Under what condition is the sum of two vectors equal to their difference?

Fifty vectors, each of magnitude 10 units, are represented by the sides of a polygon, all taken in the same order. What is the resultant?

The vectors A and B are such that |A + B| = |A – B|, then the angle between the two vectors will be _____

If A and B are two vectors, then which of the following options is true?

What is the condition that two non-zero vectors are perpendicular?

Consider two vectors  =  m and  =  N. What is the value of cross product of these two vectors?

Which of the following statements is NOT true?

What is the angle  between  and ?

The magnitude of the vector product of two vectors is  times their scalar product. What is the angle between the vectors?

At what angle must the two forces (x + y) and (x – y) act, so that the result may be ?

A particle moves from position  to position  in metre units and a uniform force  N acts on it. What is the work done by the force?

A boatman can row with a speed of 10 kmh^-1. If a river of width 2 km flows at 5 kmh^-1, then what is the direction in which the boatman should row to reach a point on the other bank directly opposite to the point from where he started?

The work done by force is defined by W = F.S. In a certain situation F and S are not equal to zero, but work done is zero. From this what can be concluded?

The magnitude of the resultant of two vectors is 12 units. If the magnitude of one vectors is 20 units, what is the magnitude of the other vector? (Given: The resultant is at right angels to the other vector)