ABSTRACT

This chapter describes the geometric interpretation and the properties of a scalar or dot product and a vector or cross product. The scalar product of two vectors is commutative. Vector product or cross product is non‐commutative. The vector product of two parallel vectors is a null vector. The scalar and vector products are useful in many fields such as coordinate geometry, solid geometry, trigonometry, mechanics, physics, computer science, electric engineering, etc. The chapter discusses two basic applications of scalar and vector products: work done by a force; and moment of a force about a point. The scalar product of a force applied to a particle and the displacement of the particle in the direction of the force is known as work. Thus, work is a scalar quantity.