Read each statement below carefully and state with reasons, if it is true or false:

(a) The magnitude of a vector is always a scalar

(b) Each component of a vector is always a scalar

(c) The total path length is always equal to the magnitude of the displacement vector of a particle

(d) 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 the average velocity of the particle over the same interval of time

(e) Three vectors not lying in a plane can never add up to give a null vector.

Asked by Pragya Singh | 1 year ago |  125

1 Answer

Solution :-

Right answer is (a) True

Explanation:-

The magnitude of a vector is a number. So, it is a scalar.

Right answer is (b) False

Explanation:-

Each component of a vector is also a vector.

Right answer is (c) False

Explanation:-

The total path length is a scalar quantity, whereas displacement is a vector quantity. Hence, the total path length is always greater than the magnitude of displacement. It becomes equal to the magnitude of displacement only when a particle is moving in a straight line.

Right answer is (d) True

Explanation:-

It is because of the fact that the total path length is always greater than or equal to the magnitude of displacement of a particle.

Right answer is (e) True

Explanation:-

Three vectors, which do not lie in a plane, cannot be represented by the sides of a triangle taken in the same order.

Answered by Abhisek | 1 year ago

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