In: Advanced Math
<Vector Calculus>
Please show all step by step work and formulas. Thanks
A current in a river is pushing a ship in a direction of 25 degrees north of east with a speed of 12 knots (nautical miles per hour). There is a 7 knots (kn) wind pushing the ship in a direction 80 degrees south of east. Find the velocity vector of the ship vector of the ship relative to the water if the ship is moving due east at a speed of 40 knots (kn) relative to the ground.