Final answer:
Displacement is dependent on the starting and ending positions, not on the path taken, so the first statement is False. Voltage in a circuit diagram is not constant across a wire because it may drop across various components, making the second statement False.
Step-by-step explanation:
In response to the first question, we are considering the displacement of two individuals starting from the same point. Displacement is a vector quantity that refers to an object's overall change in position. Displacement only depends on the initial and final positions, not on the path taken. Hence, regardless of whether a person walks 2 blocks east and then 5 blocks north, or another person walks 5 blocks north and then 2 blocks east, the final displacement is the same because the initial and final positions are identical. This makes the statement False.
As for the second question, in a circuit diagram, the assumption that voltage is the same at every point in a given wire is also False. Voltage only remains constant within a conductor if there is no change in resistance, no current flowing, and no components/devices that alter voltage. However, most circuits do not meet these conditions. In a real circuit, the voltage may drop across components such as resistors, capacitors, and others that are designed to affect the current and voltage in the circuit.