Final answer:
Plane waves satisfy the wave equation. They are solutions to the linear wave equation and can be represented by Ey(x, t) = Eo cos (kx – wt). Vectors that satisfy the wave equation are commonly found in various types of waves.
Step-by-step explanation:
The vectors that satisfy the wave equation are plane waves. Plane waves are solutions to the linear wave equation and can be represented by the wave function Ey(x, t) = Eo cos (kx – wt).
The wave vector, denoted as k, represents the direction of the photon's linear momentum vector, while the wave number, denoted as k, is the magnitude of the wave vector and is equal to 2π/λ.
Vectors that satisfy the wave equation are commonly found in various types of waves, including electromagnetic waves, sound waves, and waves on a string.