Find the angle between the vectors $|\overrightarrow a|\overrightarrow b+|\overrightarrow b|\overrightarrow a$ and $ |\overrightarrow a|\overrightarrow b-|\overrightarrow b|\overrightarrow a$ where$ \overrightarrow a$ and $\overrightarrow b$ are non zero vectors

related to an answer for: Show that $| \overrightarrow a | \overrightarrow b + | \overrightarrow b | \overrightarrow a$ is perpendicular to $| \overrightarrow a | \overrightarrow b - | \overrightarrow b | \overrightarrow a$, for any two nonzero vectors $\overrightarrow a$ and $\overrightarrow b$.

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