In this live lecture, I'll discuss scalar product and vector product. The dot product of two vectors is the sum of the products of their corresponding components. It is the product of their magnitudes multiplied by the cosine of the angle between them. The dot product of two vectors is the sum of the products of their corresponding components. It is the product of their magnitudes multiplied by the cosine of the angle between them. A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight. The constant (called a scalar) is multiplied to both components to ensure that both components (i and j) are 'scaled' by the same factor, thus ensuring that the vector is pointing in the same direction. In general, the constant distributes through all the components of the vector.
