Final answer:
The properties of the quadrilaterals to accurately determine if they are similar, congruent, or neither. Additionally, vector addition and the tests for independence or mutual exclusivity in probability require further information to reach a definitive conclusion.
Step-by-step explanation:
Different scenarios and subjects, such as vector addition in physics, area comparison in geometry, independence and mutual exclusivity in probability, and vector positions in mathematics or physics. Unfortunately, the question lacks context that specifies which quadrilaterals are being referred to, thus making it impossible to provide a definitive answer regarding their properties. Normally, to accurately determine if quadrilaterals are similar, congruent or neither, one would need information on their side lengths, angles, or other defining properties. For congruent quadrilaterals like E and F, all corresponding sides and angles must be equal. For similar quadrilaterals like D and E, the corresponding angles must be equal and the sides proportional.
As for the addition of vectors, without specific information about the direction and magnitude of the vectors a, b, c, d, and e, one cannot conclude that their sum would have a greater magnitude than any two of them added together. Vector addition is not necessarily cumulative in magnitude because vectors have both magnitude and direction. In problems pertaining to events in probability like independence and mutual exclusivity, events D and E could be tested for independence by verifying if the probability of their intersection is equal to the product of their individual probabilities. Mutual exclusivity would be tested by checking if the probability of their intersection is zero.
Without additional information on the queries about vector positions relative to houses, the fencing of a plot of land, or the comparison of areas A1, A2, and A3, answers cannot be provided with confidence. Similarly, whether one could conclude A = B from the given mathematical operations depends on additional context about the operations and the properties of the involved elements.