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## Main Question or Discussion Point

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

My confusion is...

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?