Vector products are used to define other derived vector quantities. Taking a vector product of two vectors returns as a result a vector, as its name suggests. A quite different kind of multiplication is a vector multiplication of vectors. For example, the work that a force (a vector) performs on an object while causing its displacement (a vector) is defined as a scalar product of the force vector with the displacement vector. Scalar products are used to define work and energy relations. Taking a scalar product of two vectors results in a number (a scalar), as its name indicates. One kind of multiplication is a scalar multiplication of two vectors. There are two kinds of products of vectors used broadly in physics and engineering. Describe how the products of vectors are used in physics.Ī vector can be multiplied by another vector but may not be divided by another vector.Determine the vector product of two vectors.Determine the scalar product of two vectors.Explain the difference between the scalar product and the vector product of two vectors.By the end of this section, you will be able to:
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