Here's why:
* Definition: Amplitude is the maximum displacement of a wave from its equilibrium position. This displacement is simply a distance, which is a scalar quantity.
* Representation: Amplitude is usually represented by a positive number, indicating its magnitude. It doesn't have a directional component associated with it.
* Examples:
* Sound waves: The amplitude of a sound wave determines its loudness. Loudness is just the magnitude of the sound pressure wave, not a direction.
* Light waves: The amplitude of a light wave determines its brightness. Again, brightness is a measure of intensity, not direction.
* Mechanical waves: The amplitude of a wave on a string determines how far the string moves from its rest position. This is a distance, not a direction.
Contrast with vectors:
Vector quantities have both magnitude and direction. For example, velocity is a vector because it tells you how fast an object is moving *and* in what direction.
Because amplitude only describes the magnitude of the displacement, it is considered a scalar quantity.