Final answer:
The question pertains to the use of the Law of Cosines to calculate the length and orientation of the third side of a triangular piece of land from two given side lengths, but the answer cannot be computed without additional information such as the included angle.
Step-by-step explanation:
The student's question involves calculating the length and orientation of the third side of a triangular piece of land, given the lengths of the other two sides represented as displacement vectors. To find this, we can use the Law of Cosines which states c² = a² + b² - 2ab cos y, where a and b are the lengths of the sides of the triangle, c is the length of the side we're trying to find, and y is the angle opposite the side c. Once the angle y is known, which is often given or can be calculated using vector properties, the formula can be applied to compute the length of side c. Without the angle y, however, we cannot determine the exact value using the information provided.