Answer :
Final answer:
In physics, the amplitudes of two waves can combine through superposition and can do so regardless of alignment or different frequencies, resulting in constructive or destructive interference. Vector displacement calculations, using the Pythagorean theorem, show that different paths can result in the same displacement when vectors are at right angles.
Explanation:
The question pertains to the principles of wave interference and displacement in physics. In particular, this deals with how the amplitude of waves interacts with one another, whether waves of different frequencies can superimpose, the nature of interference, and concepts related to vector displacement.
Wave Superposition and Amplitude
When two waves meet, their amplitudes combine in a process called superposition. This can happen regardless of whether they are perfectly aligned (true), and waves can superimpose even if their frequencies are different (true). The combined amplitude can result in either constructive interference (amplitudes add) or destructive interference (amplitudes subtract).
Vector Displacement
In the context of two individuals walking in blocks, the displacement will be the same for both persons regardless of the order in which they walk east and north, as it involves a right angle and fixed distances (false). The Pythagorean theorem can be employed to calculate the resultant vector in such scenarios (true).
