Confused about conditional statements and vectors?

[cytochrome]

A conditional statement is of the form A→B.

Truth tables suggest that the converse, B→A ≠ A→B.

It is also known that any two vectors A and B are perpendicular if and only if their dot products are zero.


My confusion is...

A dot B = 0 → A and B are perpendicular. The converse is also true. Why does this not agree with truth tables?

 

[cytochrome]

I just realized that "if and only if" is a biconditional statement, so the converse of A⇔B is also true.

I think this clears up my confusion, correct me if I'm wrong please.