- #1
lowea001
- 29
- 3
Homework Statement
Three ships A, B, and C move with velocities [itex]\vec{v_{1}} \ \vec{v_{2}} \ \vec{u}[/itex] respectively. The velocities of A and B relative to C are equal in magnitude and perpendicular. Show that [itex]\left | \vec{u} -\frac{1}{2}(\vec{v_{1}} + \vec{v_{2}}) \right |^{2} = \left | \frac{1}{2}(\vec{v_{1}} - \vec{v_{2}}) \right |^{2}[/itex]
Homework Equations
Algebraic scalar product, vector product(?), magnitude of a vector.