Final answer:
Dividing the total length of the fence by the number of enclosures, each piece will be 184 meters long. Juliana can measure 200 centimeters by using a meter stick twice. Vector problems require vector addition and trigonometry to find the length and orientation of the final side of an enclosure.
Step-by-step explanation:
The student's inquiry about a 552-meter-long fence being cut into pieces for three enclosures pertains to a problem of division in mathematics. To find the length of each piece of the fence, one must divide the total length of the fence by the number of enclosures required. Therefore, each piece will be 184 meters long since 552 meters divided by 3 equals 184 meters.
Juliana's issue with measuring a 200-centimeter piece using a meter stick is also a measurement comparison problem in mathematics. A meter stick is 100 centimeters long, so she can use it twice to measure out 200 centimeters.
For the problems involving vectors for landowners and farmers, the sides of the land are treated as vectors and the resultant vector would represent the final side needed to complete the enclosure, which can be found using vector addition/subtraction and Pythagorean theorem if the angles are provided, or using laws of cosines and sines in general cases.