![]() (c) False, total path length can also be more than the magnitude of displacement vector of a particle. (b) False, each component of a vector is always a vector, not scalar. (e) Three vectors not lying in a plane can never add up to give a null vector.Īnswer: (a) True, magnitude of the velocity of a body moving in a straight line may be equal to the speed of the body. (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. (c) The total path length is always equal to the magnitude of the displacement vector of a particle. (b) Each component of a vector is always a scalar. (a) The magnitude of a vector is always a scalar. Read each statement below carefully and state with reasons, if it is true or false: (f) Yes, because both are vectors of the same dimensions. (e) No, because the two vectors of same dimensions can be added. (d) Yes, two scalars multiplied yield a meaningful result, for example multiplication of rise in temperature of water and its mass gives the amount of heat absorbed by that mass of water. For example, when acceleration A is multiplied by mass m, we get a force F = ml (c) Yes, multiplying a vector with a scalar gives the scalar (number) times the vector quantity which makes sense and one gets a bigger vector. (b) No, because a scalar cannot be added to a vector. (a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions, (c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.Īnswer: (a) No, because only the scalars of same dimensions can be added. State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful: Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction, charge. Pick out the only vector quantity in the following list:
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