Part A: Multiple TRUE/FALSE
1. Which of the following statements about vectors and scalars are TRUE? List all that apply.
- A vector is a large quantity and a scalar is a small quantity.
- A scalar quantity has a magnitude and a vector quantity does not.
- A vector quantity is described with a direction and a scalar is not.
-Scalar quantities are path dependent quantities and vector quantities are not.
- A scalar quantity depends only upon the initial and final values of the quantity; this is not the case for vector quantities.
- The quantity 20 m/s, north is a speed and as such is a scalar quantity.
- The quantity 9.8 m/s/s is an acceleration value and as such is a vector quantity.

It is a physical quantity that only has magnitude.
It is a 1-dimensional
Its changes when magnitude changes.
It can't be resolved.
It is a path-dependent quantity.
If any mathematical operation is applied between two or more scalar quantities will give a scalar.
For example: mass, time, energy, etc

Vector quantity

It is a physical quantity that has magnitude and direction.
It can be the 1-dimensional,2-dimensional, or 3-dimensional
Any change in it changes its direction or magnitude or both.
It can be resolved.
It only depends on the initial and final values of quantities.

If any mathematical operation is applied between two or more vector quantities will give a scalar or vector.
For example: force, velocity, pressure, etc.

So from this, we can conclude that the true statements out given statements in the question are:

A vector quantity is described with a direction and a scalar is not.

Scalar quantities are path-dependent quantities and vector quantities are not.

Learn more about scalar and vector quantities here:

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