Why are my results not matching for orthonormalized vectors?

[Shackleford]

I found the final answer posted online, but my work doesn't match up.

v₁ = 3t
v₂ = 5t^1/2 - 6t

Orthonormalized:

<br /> v_1 = \sqrt{3}t is correct.

<br /> v_2 = \frac{1}{\sqrt{61}}(5t^{1/2} - 6t) does not match.

Furthermore, my part (b) is wrong, too. I know my methods are correct. I don't understand why the answers aren't matching.

http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20120211_095108.jpg

http://i111.photobucket.com/albums/n149/camarolt4z28/File.jpg

 

[Shackleford]

I realized some of my arithmetic is wrong/incomplete towards the end on (b). It's even worse now.

 

[LCKurtz]

Well, for one thing $v_1$ isn't $3t$. It is $t\sqrt 3$.

 

[Shackleford]

Well, for one thing $v_1$ isn't $3t$. It is $t\sqrt 3$.

Okay, yeah. I see what I wrote down that wasn't exactly right. Let me see if I didn't anything else wrong for the second orthogonal vector.

I found the problem. Thanks!