1. Coordinate system Vector Matrix

2. Vector can be represented by matrix
Vector can be represented by matrix P
P (7, 6) XA YA
Vector
Projection on x-axis
Projection on Y-axis

3. Vector
Always with respect to a particular coordinate system as a reference
To a vector, we have two numbers to define it, i.e.
length of magnitude,
orientation or
projection of the length on x-axis and y-axis, respectively, that is, 7 and 6. P XA YA

4. If the length of the vector is 1, it is called unit vector.
In this case, the vector has only the orientation to make sense.
We can use the unit vector to represent the orientation or direction of an object. P XA YA

5. XA YA
F(x,y)=0 P
P and F(x,y) in B frame? XB YB
Frame = coordinate system

8. To describe an object, (1) be aware of the reference coordinate system (or frame), (2) choose a point on the object for location, (3) choose a line on the object for orientation

9. Local coordinate system
Define a local coordinate system (LC), so the object with respect to LC is known. Denote the relationship between LC and Frame A is T. The description of all the features of the object with respect to A is obtained through T.