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The Dot Product Level 1 In this video we will define a new vector operation called the dot product also known as the scalar product and sometimes referred to as the inner product. Defining vector multiplication is pretty tricky because, vectors are not ordinary numbers, so ordinary multiplication is not directly applicable to vectors. Vectors have direction as well as magnitude, they cannot be multiplied in the same way that scalars are. Instead we must define what the operation of vector multiplication means. Among the many possible ways to define how to multiply vectors, there are three ways that is most commonly used in math and physics. These include multiplication of a vector by a scalar, which was already discussed in the previous videos. Multiplication of one vector by a second vector so as to produce a scalar, and multiplication of one vector by a second vector so as to produce another vector. In the following series of videos we will focus on the second type, known as the dot
