RF/Microwave Engineering and Applications in Energy Systems. Abdullah Eroglu

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Figure 1.3 Unit vector representation in a Cartesian coordinate system.

       Cross Product

      The cross product between two vectors is also a vector. The magnitude of the cross product of and is equal to the area of the parallelogram which is formed by these vectors, as shown in Figure 1.2b. Consider the two vectors given in Figure 1.2b. The cross product of these two vectors can be written as

      (1.12)

       is the unit vector along the normal to the plane containing A and B. It is important to note that

      (1.13)

       Vector Operation Properties for Dot and Cross Products

      Some of the properties for dot and cross products are given below

      (1.14a)

      (1.14b)

      (1.15a)

      (1.15b)

      (1.16a)СКАЧАТЬ