Vectors
Vectors can be represented in a rectangular grid. We only need the endpoint of the vector, then we join the origin (0, 0) with the terminal point and we draw the vector.
It's given the vectors:
a = < 2, -1 > b = < 1, 3 >
Now we represent both vectors in the rectangular grid as follows:
Now we add both vectors by using the parallelogram method which consists in forming a parallelogram by drawing a line parallel to a that passes through the terminal point of b and a parallel line to b that passes through the terminal point of a, as follows:
The sum of a + b is drawn in black and its coordinates are < 3, 2 >