For each of the following pairs of vectors find an orthogonal vector of unit length.

- ;
- ;
- .

- First, we have
Therefore, the vectors orthogonal to both and are of the form for . Setting the length of this equal to 1 we have

Therefore, the vectors orthogonal to and with unit length are

- First, we have
Therefore, the vectors orthogonal to both and are of the form for . Setting the length of this equal to 1 we have

Therefore, the vectors orthogonal to and with unit length are

- First, we have
Therefore, the vectors orthogonal to both and are of the form for . Setting the length of this equal to 1 we have

Therefore, the vectors orthogonal to and with unit length are