Coordinate system Vector Matrix

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

  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

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  

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

           

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

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.