Question

Read each statement below carefully false : 

1. The magnitude of a vector is always a scalar, 

2. each component of a vector is always a scalar, 

3. the total path length is always equal to the magnitude of the displacement vector of a particle, 

4. the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same Interval of time, 

5. Three vectors not lying In a plane can never add up to give a null vector.

Answer 1

1. True. The magnitude of a vector gives its length, which is always a scalar. 

2. False. Each component of a vector is a vector by itself. 

3. False. The total path length is always greater than or equal to the magnitude of the displacement vector of the particle. 

4. True. Since the path length is always greater than or equal to the magnitude of the displacement vector of the particle, the average speed is always greater than or equal to the magnitude of the average velocity. 

5. True. If the vectors are not coplanar, their addition will always yield some nonzero component in at least one direction.