Given that \( \overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B...
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Given that \( \overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}+\overrightarrow{\mathrm{C}}=\overrightarrow{0} \). Out of these three vectors two are equal in magnitude and the magnitude of the third vector is \( \sqrt{2} \) times that of either of the two having equal magnitude. Then the angles between vectors are :
(1) \( 30^{\circ}, 60^{\circ}, 90^{\circ} \)
(2) \( 45^{\circ}, 45^{\circ}, 90^{\circ} \)
(3) \( 45^{\circ}, 60^{\circ}, 90^{\circ} \)
(4) \( 90^{\circ}, 135^{\circ}, 135^{\circ} \)
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