# Parallelogram for Vector Addition

There are two ways to form the sum:

**T** = **S + R**
**T** = **R + S**

where

**R** = ( 4, 3 )^{T}
**S** = ( 1, 2 )^{T}

There are two ways to draw the diagram,
depending on which arrow's tail you put at the origin.
If you draw both versions,
then you get a parallelogram with the sum of the vectors
as the diagonal arrow whose tail starts at the origin.

*What is a parallelogram?* you might ask, if your
high school geometry is a bit murky.
A parallelogram is a four sided figure with opposite sides
parallel and equal in length.
So, for example,
the blue arrows representing the vector **s**
are the same length and same direction.
The green arrows representing the vector **r**
have their same length and same direction.

### QUESTION 15:

**u** = ( -3, 2 )^{T},
**v** = ( 1, -5 )^{T}
form the sum:
**w** = **u + v**