Here in the question there is a mention of the vector quantity, so we have to know about the vector quantities. Vector quantities are the physical quantities which has both direction and magnitude. For example-velocity- velocity is having both magnitude and its direction too.Complete answer:
So here in the given option we will check for each quantity whether it is a vector or scalar quantity, that means we will check whether the quantity is having direction and the magnitude or not.
So, in the option (A) we have distance which is having only magnitude and no direction. So, distance is not a vector quantity,
In option (B) we have displacement which is having both magnitude and direction. So, the displacement is a vector quantity.
In option (C) we have acceleration which is also having magnitude and direction both. So, the acceleration is also a vector quantity.
In option (D) we have velocity which is also a vector quantity since it is having both magnitude and the direction.
So, in the given options we see that only distance is the quantity which is not a vector quantity among all the four given quantities. So, the correct answer is “Option A”.Note:
Differences between scalar and the vector quantity can be summarised as follows,
|S.No.||Scalar quantity ||Vector quantity|
|1.||Scalar quantity is having only magnitude but no direction.||Vector quantity is the physical quantity having both magnitude and direction.|
|2.||Scalar quantity cannot be resolved since it will be having the same value regardless of direction. ||Vector quantity can be resolved in any direction by the application of the sine and cosine trigonometric ratios. |
|3.||Scalar quantity is only one dimensional.||Vector quantity can be 1-D, 2-D, and 3-D.|
|4.||Any change in the scalar quantity is a reflection of the change in the magnitude.||Here the change of quantity will be the result of both magnitude and direction.|
|5.||Example- length, density, energy, mass, etc.||Example- velocity, acceleration, force, displacement, etc.|