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Unit vector representation for a Cartesian coordinate system is shown in Figure 1.3.

A vector representation in a Cartesian coordinate system is given by (1.17).

(1.17)

The magnitude of vector is found from

(1.18)

The vector can be illustrated in the coordinate system, as shown in Figure 1.4. The base vector properties can be given by

(1.19)

(1.20)

Figure 1.4 Representation of vector in a Cartesian coordinate system.

Figure 1.5 Representation of vector in a cylindrical coordinate system.

The vector operations for dot and cross products for vectors and are given by

(1.21)

(1.22)