Read each sentence below carefully and state with reasons, if it is true or false:a. the magnitude of a vector is always a scalarb. each component of a vector is always a scalarc. 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 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
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# Answers with explanations-
a) True.
As magnitude of vector is just a number, it's always scalar.
b) False.
Each component of vector has its own magnitude as well as direction. Hence it's a vector quantity.
c) False.
Path length is greater than or equal to displacement of the body. It's equal only if path is straight line.
d) True.
As path length ≥ displacement
average speed ≥ average velocity
e) True.
Fir sum of 3 vectors to be null vectors, they must represent 3 vertex of triangle. Hence they must be collinear.
Hope this is useful..
# Answers with explanations-
a) True.
As magnitude of vector is just a number, it's always scalar.
b) False.
Each component of vector has its own magnitude as well as direction. Hence it's a vector quantity.
c) False.
Path length is greater than or equal to displacement of the body. It's equal only if path is straight line.
d) True.
As path length ≥ displacement
average speed ≥ average velocity
e) True.
Fir sum of 3 vectors to be null vectors, they must represent 3 vertex of triangle. Hence they must be collinear.
Hope this is useful..
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