Vectors are elements of the vector space, and they can be illustrated by diagrams.
The vector expression is given as:
[tex]2u - \frac 13v[/tex]
Split the vector expressions, as follows:
[tex]y_1 = 2u[/tex]
[tex]y_2 = - \frac 13v[/tex]
See attachment for the graphs of y1 and y2.
Next, we have:
[tex]y = 2u - \frac 13v[/tex]
This gives
[tex]y = y_1 + y_2[/tex]
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of [tex]2u - \frac 13v[/tex]
Read more about vectors at:
https://brainly.com/question/14480278