Difference between parentheses and angle brackets in vector notation

Question

In my calculus class we used angle brackets to describe vectors, $\langle a, b, c\rangle $. But in my linear algebra class we use parenthesis. I've read here the angle brackets are for inner products but in calc we've used them generally, not necessarily when computing a product; we've said u $= \langle a,b,c\rangle $. When are parentheses or angle brackets used properly?