apacheGH-43665: [R] Remove references to bindings vignette (apache#43889

)

### Rationale for this change

The writing-bindings vignette was removed in
apache#41576 (comment). It
turns out there were more references to it throughout the docs that I
failed to remove

### What changes are included in this PR?

Deleting x-refs that don't exist anymore.

### Are these changes tested?

Not really

### Are there any user-facing changes?

The docs won't point you at links that 404.
* GitHub Issue: apache#43665

docs/source/developers/guide/resources.rst

@@ -71,7 +71,6 @@ Contributing
 
 - :ref:`contributing`
 - `Arrow R Developer Guide <https://arrow.apache.org/docs/r/articles/developing.html>`_
-- `Writing Bindings article for R package <https://arrow.apache.org/docs/r/articles/developers/bindings.html>`_.
 
 Reproducible examples:
 

docs/source/developers/guide/step_by_step/arrow_codebase.rst

@@ -150,6 +150,3 @@ C++ we must create the binding manually to use it in that implementation.
       When writing bindings between C++ compute functions and R functions,
       the aim is to expose the C++ functionality via the same interface as
       existing R functions.
-
-      To read the full content on the topic of R bindings read through the
-      `Writing Bindings article <https://arrow.apache.org/docs/r/articles/developers/bindings.html>`_.

docs/source/developers/guide/tutorials/r_tutorial.rst

@@ -27,22 +27,6 @@ R tutorials
 ***********
 
 
-Writing Bindings Walkthrough
-============================
-
-The first R package tutorial to be included in the New Contributor's
-guide is a **Walkthrough** added in the **Writing Bindings**
-vignette. With time we will try to include additional tutorials
-directly into this guide.
-
-This tutorial will show how to do a binding of a C++ function
-`starts_with() <https://arrow.apache.org/docs/cpp/compute.html#containment-tests>`_
-to the (base) R function ``startsWith()``.
-
-To view the tutorial follow the
-`Walkthrough section of the Writing Bindings article <https://arrow.apache.org/docs/r/articles/developers/bindings.html#walkthrough>`_.
-
-
 R tutorial on adding a lubridate binding
 ========================================
 
@@ -56,11 +40,6 @@ The binding will be added to the ``expression.R`` file in the
 R package. But you can also follow these steps in case you are
 adding a binding that will live somewhere else.
 
-.. seealso::
-
-   To read more about the philosophy behind R bindings, refer to the
-   `Writing Bindings article <https://arrow.apache.org/docs/r/articles/developers/bindings.html>`_.
-
 This tutorial is different from the :ref:`step_by_step` as we
 will be working on a specific case. This tutorial is not meant
 as a step-by-step guide.
@@ -170,13 +149,6 @@ equivalent data types. lubridate's ``mday()`` function has no additional
 arguments and there are also no option classes associated with Arrow C++
 function ``day()``.
 
-.. note::
-
-   To see what to do if there is an option class associated with the
-   function you are binding, refer to
-   `Examining the C++ function <https://arrow.apache.org/docs/r/articles/developers/bindings.html#examining-the-c-function>`_ from the Writing Bindings
-   article.
-
 Looking at the code in ``expressions.R`` we can see the day function
 is already specified/mapped on the R package side:
 `<https://github.com/apache/arrow/blob/658bec37aa5cbdd53b5e4cdc81b8ba3962e67f11/r/R/expression.R#L63-L64>`_

r/vignettes/developing.Rmd

@@ -52,6 +52,3 @@ There are a number of ways in which we do this:
 * [Running R with the C++ debugger attached](https://arrow.apache.org/docs/r/articles/developers/debugging.html)
 * [In-depth guide to how the package installation works](https://arrow.apache.org/docs/r/articles/developers/install_details.html)
 * [Using Docker to diagnose a bug or test a feature on a specific OS](https://arrow.apache.org/docs/r/articles/developers/docker.html)
-* [Writing bindings between R functions and Arrow Acero functions](https://arrow.apache.org/docs/r/articles/developers/bindings.html)
-
-