Final answer:
The statement regarding women's capabilities during war is false as historical records show women successfully took on many roles during wartime. The importance of native allies in the conquest of the Aztecs is true; such alliances were key to Spanish success. Lastly, displacement in Physics is the same regardless of the path taken, if the starting and ending points are the same.
Step-by-step explanation:
When discussing the statement: 'Many women found themselves incapable of handling the burdens of war when their husbands and fathers went off to fight', the assertion is false. During both World Wars, women in many countries took over roles and jobs that were previously held by men, showing adaptability and capability in managing both domestic responsibilities and occupations necessary for the war effort.
Similarly, the statement: 'Recruiting native allies played an important role in the Spanish conquest of the Aztec' is true. The Spanish, particularly Hernán Cortés, strategically aligned with some indigenous groups who were adversaries of the Aztecs, which significantly contributed to their success.
The question related to displacement, referencing if one's displacement is more than another based on their path, is related to Physics. Displacement depends on the starting and ending points, not the path taken, so in this scenario, the displacements are the same, making the statement false.