Final answer:
The statement in the student's question regarding the ability to create two or more graphs in the same plot by typing pairs of vectors inside the plot command is true. Additionally, the Pythagorean theorem is applicable for computing the length of a resultant vector from the addition of two perpendicular vectors.
Step-by-step explanation:
The student's question relates to the graphical representation of vector addition. When it comes to plotting the addition of two or more vectors on the same graph, the statement is True. By inputting pairs of vectors into a plot command, multiple graphs can indeed be created simultaneously. Moreover, the Pythagorean theorem can be applied to calculate the resultant vector's length when two vectors are at right angles to each other. The magnitude of a resultant vector from adding multiple vectors does not necessarily have to be greater than the magnitude from addition of any two of those vectors; it depends on the directions and magnitudes of all vectors involved. Without knowing the magnitudes of vectors, knowing only their angles does not allow for determining the angle of their resultant vector. However, if the magnitudes of all but one vector and all angles are known, the magnitude and direction of the resultant can be calculated.