Before I answer, you should be familiar with scalar and vector quantities.

Physical quantities with just a numerical value or a size(magnitude) are called scalars. A scalar quantity is one that does not depend on its direction. You must compare the magnitudes of two scalar quantities of the same form when comparing them.

• Dot products of vector quantities are often scalar, meaning they have only magnitude and no direction.

A physical quantity that has both direction and magnitude is known to as a vector quantity. You must compare the magnitude and direction of two vector quantities of the same form when comparing them. You must remember both the magnitude and the direction when performing some mathematical operation on a vector quantity (such as adding, subtracting, multiplying, etc.).

• A physical quantity is said to be a vector quantity if it obeys the laws of vector addition

Step 1: Make a note of the physical quantities

Force, angular moment, work, current, linear momentum, electric field, average velocity, magnetic moment, relative velocity

Step 2: Identifying the scalar quantities.

There are other factors that influence whether a quantity is vector or scalar. A physical quantity is said to be a vector quantity if it obeys the laws of vector addition. When two electric currents meet at a junction, the resulting current is an algebraic sum, not a vector sum. Although it has magnitude and direction, electric current is a scalar quantity.

The dot product of force and displacement is defined as work. The dot product of two vectors is a scalar quantity, as we know. hence, work is a scalar quantity.