Complex sentence: Indeed, this distinction should be made clear to avoid the usual misunderstandings: a ket is a vector in the sense of abstract vector spaces, not a "coordinate vector" or "column vector" as typically used in basic linear algebra.
Split into simpler sentences: Indeed, this distinction should be made clear to avoid the usual misunderstandings. A ket is a vector in the sense of abstract vector spaces, not a "coordinate vector" or "column vector" as typically used in basic linear algebra.