5.1 Introduction

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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,