Well, they're orthogonal at a point if so for the first I'd write them as and . Calculate derivatives and show at the origin the orthogonal requirement is met. For the second one:
or:
How do I show two equations are orthogonal?
x+y=0
x=sin y
and
How do I verify that the two families of curves are orthogonal when K and C are real numbers?
xy= C
x^2-y^2=K
These questions popped up on my hw and I'm kinda lost about how to do them.
Thanks in advance!