Given vectors and in find a vector of unit length parallel to the following vectors:

- ;
- ;
- ;
- ;
- .

- First, we have
Since must be parallel to this we know there is a nonzero scalar such that

Since is unit length we have

Therefore, .

- First, we have
Since must be parallel to this we know there is a nonzero scalar such that

Since is unit length we have

Therefore, .

- First, we have
Since must be parallel to this we know there is a nonzero scalar such that

Since is unit length we have

Therefore, .

- First, we have
Since must be parallel to this we know there is a nonzero scalar such that

Since is unit length we have

Therefore, .

- First, we have
Since must be parallel to this we know there is a nonzero scalar such that

Since is unit length we have

Therefore, .