### A good answer might be:

**w** projected onto **v**
is **NOT** the same as
**v** projected onto **w**

The vector resulting from a projection is oriented in the
direction of *the vector projected onto*.

# Finding **u**

After you have found k**v** it is easy to find the orthogonal vector,
**u**:

**w** = k**v** + **u**, so **u** = **w** - k**v**

In the above formula, "+" means vector addition and "-" means vector subtraction.

So far in this chapter the vectors have all been geometrical vectors.
There has been no mention of coordinate frames or column matrices.