How do you verify that is an orthogonal set?

Show that Show that Show that
and Show that and
Use the vectors below to compute the following.
Simplify.

Simplify.

Compute the othogonal projection of onto .

Compute such that and .

In the previous question, we find that . That is that the vector is its own orthogonal
projection onto . Which of the following statements must be true?

Use the vectors below to compute the following.
Simplify.

Simplify.

Compute the othogonal projection of onto .

Compute such that and .

What vector represents the closest point to in ?