(Solved): (3 points) Suppose \( \bar{u}=\langle 1,0\rangle \) and \( \bar{v}=\langle 1,-3\rangle \) are two v ...

(3 points) Suppose \( \bar{u}=\langle 1,0\rangle \) and \( \bar{v}=\langle 1,-3\rangle \) are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are Separate answers with a comma. (3 points) Suppose a car is traveling at \( 50 \mathrm{~km} / \mathrm{hr} \), and that the positive \( y \)-axis is north and the positive \( x \)-axis is east. Resolve the car's velocity vector (in 2-space) into components if the car is traveling in each of the following directions. The units are \( \mathrm{km} / \mathrm{hr} \), but you do not need to enter units. 1. East: 2. South: 3. Southeast: 4. Northwest: (4 points) A child walks due east on the deck of a ship at 1 miles per hour. The ship is moving north at a speed of 15 miles per hour. Find the speed and direction of the child relative to the surface of the water. Give an exact answer or round to 6 decimal places. Speed \( = \) \( \mathrm{mph} \) The angle of the direction from the north \( = \) (ra