Answer:
See graph below
Explanation:[tex]\begin{gathered} vector\text{ a = \lparen2, -1\rparen} \\ vector\text{ b = \lparen1, 3\rparen} \end{gathered}[/tex]
To draw the parallelogram using the vectors, we will draw a vector (arrow) from the origin (0, 0) to (2, -1) to show vector a. And also draw from (0, 0) to (1, 3) to show vector b. Then the sum of vectors a and b will represent the diagonal of the parallelogram.
We will draw from (0, 0) to (3, 2) which represents the sum of the vectors.
[tex]\begin{gathered} vector\text{ a + vector b = \lparen2, -1\rparen + \lparen1, 3\rparen} \\ vector\text{ a + vector b = \lparen2 + 1, -1 + 3\rparen} \\ vector\text{ a + vector b = \lparen3, 2\rparen} \end{gathered}[/tex]
