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,