Final answer:
The question deals with the Physics concept of a displacement vector, requiring knowledge of vector addition to determine the object's overall change in position considering both magnitude and direction, represented graphically.
Step-by-step explanation:
The student's question involves calculating a displacement vector, which is a fundamental concept in Physics. Displacement vectors represent the overall change in the position of an object, factoring in both magnitude and direction. The specific question describes a displacement that is 620 meters in length and points 30 degrees north of east. If one were to use the graphical technique for adding vectors, one would draw this vector with the appropriate length and angle using a protractor and scale.
For instance, if a person were to walk on a path that has several vector displacements, the final displacement would be determined by graphically adding those vectors together, taking into account their magnitudes and directions. The graphical method often involves drawing the vectors on a grid, ensuring their lengths are proportional to their respective magnitudes, and joining them head-to-tail to find the resultant vector.
To represent the given displacement vector, you would draw an arrow of 620 meters in length, at an angle of 30 degrees measured from the east towards the north. This vector representation would give you a visual understanding of the direction and magnitude of the displacement from the house to the library.