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Show that tha angles between the diagonals of a rectangular parallelopiped having sides a,b and c are cos^(-1)((|alpha|)/(a^(2)+b^(2)+c^(2))), where alpha=pma^(2)pmb^(2)pmc^(2)and|alpha|!=a^(2)+b^(2)+c^(2). Hence find the angle between the diagonals of a cube. |
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