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Confused about conditional statements and vectors?

  1. Sep 23, 2012 #1
    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?
  2. jcsd
  3. Sep 23, 2012 #2
    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.
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