Vectors are a geometric object with a magnitude (length) and direction. They are represented by an arrow, where the arrow shows the direction and the length represents the magnitude.
So looking at the diagram we can see that vector u vector has a greater magnitude than v vector. Vectors can also be described in terms of the points they pass between. So
with the arrow over the top showing the direction.
You can use vectors as a geometric algebra, expressing other vectors in terms of u vector and v vector. For example
This may seem slightly counter-intuitive at first. But if we add in some possible figures you can see how it works. If moves 5 units to the left and moves 1 unit to the right (−left) and 3 units down.
Then units to the left −1 unit to the right and 3 units down = 4 units to the left and 3 units down.
