Vector v has its initial point at (13, -7) and its terminal point at (3, -1). Write the vector in component form and find its magnitude. Round the vector’s magnitude to the nearest hundredth unit. Make sure to show all work and explain the steps.

The mountain springs water company has two departments, purifying and bottling. the bottling department received 67,000 liters from the purifying department. during the period, the bottling department completed 65,000 liters, including 3,000 liters of work in process at the beginning of the period. the ending work in process was 5,000 liters. how many liters were started and completed during the period?