Here's why:
* Intensity describes the power per unit area carried by a wave. Power is a scalar quantity (energy per unit time). Area is also a scalar quantity.
* Scalar quantities only have magnitude, not direction.
* Vector quantities have both magnitude and direction.
While a wave itself might be described by a vector (like the electric field vector in an electromagnetic wave), the intensity of the wave simply measures how much energy it carries per unit area, which is independent of direction.