Final answer:
The statement about women's legal status prior to the 19th Amendment is false; they were considered legal persons but with limited rights. The truth of the displacement statement is context-dependent. Lastly, the displacements of the two individuals walking different paths to the same point are equal, making the statement false.
Step-by-step explanation:
The statement 'Prior to the 19th Amendment being ratified, women were not considered a legal person on their own' is False. While it is true that the 19th Amendment, ratified in 1920, granted women the right to vote, the notion of being a 'legal person' is separate from suffrage rights. Women were considered legal persons but had restricted legal rights and capacities; for instance, owning property or entering into contracts was limited or subject to their husband's consent.
Regarding 'displacement will be the same as it would have been had he followed directions correctly', this statement could be True or False depending on the context it's been used in. If the displacement refers to a scenario in physics where two different paths result in the same final position, then it could be true. However, if the directions involved a specific path that would lead to a different final position, then it would be false.
For the scenario, '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', the statement is False. Displacement is a vector quantity that depends only on the initial and final positions, not the path taken. Therefore, since both individuals end up at the same final position with the same starting point, their displacements will be equal.