Final answer:
The angles of two vectors alone are not enough to find their resultant's angle; magnitudes are also needed, so the statement is false. For displacement, since both people walked the same distances in east and north directions, their displacements are the same, making the second statement false as well.The correct option is B.
Step-by-step explanation:
The subject of the question is Physics, and it is appropriate for high school level. The question asks whether the clip will snap to the nearest grid line, followed by a GRASP CHECK statement related to vector addition.
GRASP CHECK
True or False-If only the angles of two vectors are known, we can find the angle of their resultant addition vector.
b. False
We cannot determine the angle of the resultant vector solely by knowing the angles of the two vectors; we need to know both the magnitudes and the angles of those vectors to calculate the resultant vector's angle using vector addition principles.
Displacement Comparison
True or False-A person walks 2 blocks east and 5 blocks north. Another person walks 5 blocks north and then two blocks east. The displacement of the first person will be more than the displacement of the second person.
b. False
Displacement is a vector quantity that depends solely on the initial and final positions, not on the path taken. Since both persons have walked the same distance east and north, regardless of the order, their net displacements would be equivalent, assuming a flat surface and no elevation changes.