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**1. Homework Statement**

Below is the question given.

"Give a vector description of a point P that is on-third of the way from A to B on the line segment AB."

**2. The attempt at a solution**

I'm not sure where to go with this, all I really have at this point is a line A-B 6 squares long on my graph paper, with the point P at square 2.

From there I have drawn a two vectors above the line, they both originate at O and descend down to A and B, such that another vector descends from O to P at 90 degrees.

I believe that I have to use the Proj of u onto v at some point (or b onto a), but I'm unsure how to incorporate this into the solution.

Code:

```
O
/|\
/ | \
a / | \ b
/ | \
/ | p \
/ | \
A______|_____________B
P
```

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