For middle school practice, a pitching machine is set to throw a baseball 50 miles per hour at 25° north of east. For high school, the only setting change for the machine is to have it throw at 75 miles per hour. Complete the statements about the vectors that represent the different settings on the machine.


To find the vector representing the high school setting, multiply the vector representing the middle school setting by a scalar that is

.


Compared to the vector for the middle school setting, the vector representing the high school speed is