Textbook Problem

Lei $\stackrel{\to }{\text{B}}$ = 5.00 m at 60.0°. Let the vector $\stackrel{\to }{\text{C}}$ have the same magnitude as $\stackrel{\to }{\text{A}}$ and a direction angle greater than that of A by 25.0°. Let $\stackrel{\to }{\text{A}}$ • $\stackrel{\to }{\text{B}}$ = 30.0 m² and $\stackrel{\to }{\text{B}}$ • $\stackrel{\to }{\text{C}}$ = 35.0 m². Find the magnitude and direction of $\stackrel{\to }{\text{A}}$.