12) Determine whether the given orthogonal set of vectors is orthonormal. If it is not, normalize the vectors to form an orthonormal set.

(Need help on this one)

q1 q2

[1/2] , [1/2]

[1/2] [-1/2]

I did the dot product which yielded 0. Then I took the dot product of each by its self and it yielded two of the same fractions, 1/2. Then I multiplied each by the magnitude, 1/sqroot(2), and it yielded 1/4 for the dot products of themselves.

q1dotq2 = 0

q1dotq1 = 1/4

q2dotq2 = 1/4

I thought the last two were supposed to by ones...

What did I do wrong?