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?