feat: like method for projecting vector into the coordinate space of another vector + better type errors and hints

README.md

@@ -531,19 +531,26 @@ vector.obj(pt=1, phi=1.3, eta=2, mass=5).deltaR(
 )
 ```
 
-The opposite—using low-dimensional vectors in operations defined for higher numbers of dimensions—is sometimes defined. In these cases, a zero longitudinal or temporal component has to be imputed.
+For a few operations - `+`, `-`, `==`, `!=`, ... - the dimension of the vectors should be equal. This can be achieved by using the `like` method, `to_{coordinate_name}` methods, `to_Vector*D` methods. The `to_Vector*D` methods provide more flexibility to the users, that is, new coordinate values can be passed into the methods as named arguments.
 
 ```python
-vector.obj(x=1, y=2, z=3) - vector.obj(x=1, y=2)
-vector.obj(x=1, y=2, z=0).is_parallel(vector.obj(x=1, y=2))
+v1 = vector.obj(x=1, y=2, z=3)
+v2 = vector.obj(x=1, y=2)
+
+v1 - v2.like(v1)  # transforms v2 to v1's coordinate system (imputes z=0)
+v1.like(v2) - v2  # transforms v1 to v2's coordinate system (removes z)
+v1 - v2.to_xyz()  # transforms v2 to xyz coordinates (imputes z=0)
+v1.to_xy() - v2  # transforms v1 to xy coordinates (removes z)
+v1 - v2.to_Vector3D(z=3)  # transforms v2 to 3D (imputes z=3)
+v1.to_Vector2D() - v2  # transforms v1 to 2D (removes z)
 ```
 
-And finally, in some cases, the function excludes a higher-dimensional component, even if the input vectors had them.
+Similarly, for a few vector methods, the dimension of the input vectors are type checked strictly.
 
-It would be confusing if the 3D cross-product returned a fourth component.
+For instance, a cross-product is only defined for 3D and 7D vectors; hence, running the method on a 4D vector will error out.
 
 ```python
-vector.obj(x=0.1, y=0.2, z=0.3, t=10).cross(vector.obj(x=0.4, y=0.5, z=0.6, t=20))
+vector.obj(x=0.1, y=0.2, z=0.3).cross(vector.obj(x=0.4, y=0.5, z=0.6))
 ```
 
 The (current) list of properties and methods is:
@@ -625,6 +632,7 @@ The (current) list of properties and methods is:
 - `isclose(vector, rtol=1e-5, atol=1e-8, equal_nan=False)`: works like [np.isclose](https://numpy.org/doc/stable/reference/generated/numpy.isclose.html); arrays also have an [allclose](https://numpy.org/doc/stable/reference/generated/numpy.allclose.html) method
 - `to_Vector*D(coordinates)`: replace `*` with the reuquired vector dimension
 - `to_{coordinate-names}`: for example - `to_rhophietatau`
+- `like(other)`: projects the vector into the dimensions of `other`, for example - `two_d_vector.like(three_d_vector)`
 
 ## Compiling your Python with Numba