delete is used to delete a single object, while delete[] is used to delete an array of objects. Check this link for more info.

No! you call delete[] when you allocate with new[], otherwise you call delete.

What teacher told you leads to undefined behaviour and, if you are lucky, an application crash.

From the standard (5.3.5/2) :

In the first alternative (delete object), the value of the operand of delete shall be a pointer to a non-array object or a pointer to a sub-object (1.8) representing a base class of such an object (clause 10). If not, the behavior is undefined.

In the second alternative (delete array), the value of the operand of delete shall be the pointer value which resulted from a previous array new-expression. If not, the behavior is undefined.

So no : they are in no way equivalent !

delete [] is "vector delete" and corresponds to vector new, i.e. new[].

You must use the matching pair of allocators. E.g. malloc/free, new/delete, new[]/delete[], else you get undefined behavior.