Given two vectors (overrightarrow{mathbf{A}}) and (overrightarrow{mathbf{B}}) with magnitudes (A) and (B) respectively, you can subtract (overrightarrow{mathbf{B}}) from

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Given two vectors \(\overrightarrow{\mathbf{A}}\) and \(\overrightarrow{\mathbf{B}}\) with magnitudes \(A\) and \(B\) respectively, you can subtract \(\overrightarrow{\mathbf{B}}\) from \(\overrightarrow{\mathbf{A}}\) to get a third vector \(\overrightarrow{\mathbf{C}}=\overrightarrow{\mathbf{A}}-\overrightarrow{\mathbf{B}}\). If the magnitude of \(\overrightarrow{\mathbf{C}}\) is equal to \(C=A+B\), what is the relative orientation of vectors \(\overrightarrow{\mathbf{A}}\) and \(\overrightarrow{\mathbf{B}}\) ?

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