5.1 Introduction


• Vectors are often drawn with arrows, as shown below,



• Cartesian notation is also a common form of usage.



• Vectors can be added and subtracted, numerically and graphically,




5.1.1 Dot (Scalar) Product


• We can use a dot product to find the angle between two vectors



• We can use a dot product to project one vector onto another vector.



• We can consider the basic properties of the dot product and units vectors.







• In Scilab,



5.1.2 Cross Product


• First, consider an example,



• The basic properties of the cross product are,



• When using a left/right handed coordinate system,



• The properties of the cross products are,



• In Scilab,