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Just to be even more pedantic, "orthogonal" means more than perpendicular.

It means at least:

1. having a zero inner product

2. (a square matrix) that is the inverse of its transpose

3. linear transformation that preserves angles

4. statistically independent

lol, I was debating including definition 1 instead of saying 'perpendicular,' but I chickened out.

But you are correct, sir ;-)

Just to be more more pedantic (and silly), urban dictionary has this to say:

Used to describe two things that are independent of each other. One does not imply the other.

"Common sense and intelligence are orthogonal. I've seen plenty of smart people with no common sense."