3. DETAILS Let \(\vec{B} = 5.15\) m at 60.0\(^{\circ}\), \(\vec{C}\) and \(\vec{A}\) have equal magnitudes. The direction angle of \(\vec{C}\) is larger than that of \(\vec{A}\) by 25.0\(^{\circ}\). Let \(\vec{A} \cdot \vec{B} = 29.7\) m\(^{2}\) and \(\vec{B} \cdot \vec{C} = 35.7\) m\(^{2}\). Find the magnitude (in m) and direction (in degrees) of \(\vec{A}\). magnitude direction

          3.
DETAILS
Let \(\vec{B} = 5.15\) m at 60.0\(^{\circ}\), \(\vec{C}\) and \(\vec{A}\) have equal magnitudes. The direction angle of \(\vec{C}\) is larger than that of \(\vec{A}\) by 25.0\(^{\circ}\). Let \(\vec{A} \cdot \vec{B} = 29.7\) m\(^{2}\) and \(\vec{B} \cdot \vec{C} = 35.7\) m\(^{2}\). Find the magnitude (in m) and direction
(in degrees) of \(\vec{A}\).
magnitude
direction