- #1
member 428835
Let's take two orthogonal curves in polar coordinates of the form ##\langle r,\theta \rangle##, say ##\langle r,0\rangle## and ##\langle r,\pi/2\rangle##. Cleary both lines are orthogonal, but the dot product is not zero. This must be since I do not have these vectors in the form ##\langle x,y\rangle##.
Does anyone know of a formula for taking the dot product in other non-rectangular coordinate systems, or should I always convert to rectangular?
Does anyone know of a formula for taking the dot product in other non-rectangular coordinate systems, or should I always convert to rectangular?