Here's a breakdown:

* [M]: Represents mass.

* [L]: Represents length or distance.

* [T]: Represents time.

Let's understand how this dimension arises from the formula of gravitational force:

Newton's Law of Universal Gravitation:

F = G * (m₁ * m₂) / r²

Where:

* F: Gravitational force

* G: Gravitational constant (dimension: [M⁻¹ L³ T⁻²])

* m₁ and m₂: Masses of the two objects

* r: Distance between the centers of the two objects

Now, let's analyze the dimensions:

* F = [M L T⁻²]: We need to find the dimensions of the force (F).

* G = [M⁻¹ L³ T⁻²]: The gravitational constant has these dimensions.

* m₁ and m₂ = [M]: Mass has the dimension of mass.

* r² = [L²]: Distance squared has the dimension of length squared.

Substituting these dimensions into the formula:

[F] = [M⁻¹ L³ T⁻²] * [M] * [M] / [L²]

Simplifying, we get:

[F] = [M L T⁻²]

Therefore, the dimension of gravitational force is [M L T⁻²].