Statement 1 If then is parallel to Statement 2 If then ........

Statement 1: If $|\vec{a}+\vec{b}|=|\vec{a}-\vec{b}|$ , then $\vec{a}$ is parallel to $\vec{b}$

Statement 2: If $|\vec{a}+\vec{b}|=|\vec{a}-\vec{b}|$ then $\vec{a}.\vec{b}=0$

Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1

Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1

Statement 1 is true, statement 2 is true

Statement 1 is false, statement 2 is false

Statement 1 is false, statement 2 is false

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