Fix typos and improve the document (#1925)

<!-- Write down your pull request descriptions. -->

- Fix typos.
- Replace the less common "asynchronized" with the more common
"asynchronous" to make the analyzer happy.
- Replace non-breaking spaces (NBSP) with a regular space.

### New Pull Request Checklist

- [x] I have read the
[Documentation](https://pub.dev/documentation/dio/latest/)
- [x] I have searched for a similar pull request in the
[project](https://github.com/cfug/dio/pulls) and found none
- [x] I have updated this branch with the latest `main` branch to avoid
conflicts (via merge from master or rebase)
- [ ] I have added the required tests to prove the fix/feature I'm
adding
- [ ] I have updated the documentation (if necessary)
- [x] I have run the tests without failures
- [ ] I have updated the `CHANGELOG.md` in the corresponding package

### Additional context and info (if any)

<!-- Provide more context and info about the PR. -->

dio/CHANGELOG.md

@@ -17,7 +17,7 @@ See the [Migration Guide][] for the complete breaking changes list.**
 - Improve package descriptions and code formats.
 - Improve comments.
 - Fix error when cloning `MultipartFile` from `FormData` with regression test.
-- Deprecate `MulitpartFile` constructor in favor `MultipartFile.fromStream`.
+- Deprecate `MultipartFile` constructor in favor `MultipartFile.fromStream`.
 - Add `FormData.clone`.
 
 ## 5.3.0
@@ -89,14 +89,14 @@ See the [Migration Guide][] for the complete breaking changes list.**
 
 - Add `ImplyContentTypeInterceptor` as a default interceptor.
 - Add `Headers.multipartFormDataContentType` for headers usage.
-- Fix variable shadowing of `withCredentials` in `browser_adapers.dart`.
+- Fix variable shadowing of `withCredentials` in `browser_adapter.dart`.
 
 ## 5.0.0
 
 - Raise the min Dart SDK version to 2.15.0 to support `BackgroundTransformer`.
 - Change `Dio.transformer` from `DefaultTransformer` to `BackgroundTransformer`.
 - Remove plain ASCII check in `FormData`.
-- Allow asynchronized method with `savePath`.
+- Allow asynchronous method with `savePath`.
 - Allow `data` in all request methods.
 - A platform independent `HttpClientAdapter` can now be instantiated by doing
   `dio.httpClientAdapter = HttpClientAdapter();`.
@@ -181,7 +181,7 @@ the subsequent interceptors processing logic more finely (whether to skip them o
 ## 4.0.0-beta3
 
 - rename CollectionFormat to ListFormat
-- change default value of Options.listFormat from `mutiComptible` to `multi`
+- change default value of Options.listFormat from `multiCompatible` to `multi`
 - add upload_stream_test.dart
 
 ## 4.0.0-beta2

dio/test/options_test.dart

@@ -135,7 +135,7 @@ void main() {
   });
   test('options content-type', () {
     const contentType = 'text/html';
-    const contentTypeJson = 'appliction/json';
+    const contentTypeJson = 'application/json';
     final headers = {'content-type': contentType};
     final jsonHeaders = {'content-type': contentTypeJson};
 

dio/test/request_test.dart

@@ -125,7 +125,7 @@ void main() {
       expect(response.data['query'], equals('id=12&name=wendu'));
       expect(response.headers.value('single'), equals('value'));
 
-      const map = {'content': 'I am playload'};
+      const map = {'content': 'I am payload'};
 
       // test post
       response = await dio.postUri(

plugins/native_dio_adapter/README.md

@@ -19,7 +19,7 @@ Inspired by the [Dart 2.18 release blog](https://medium.com/dartlang/dart-2-18-f
 
 # Motivation
 
-Using the native platform implementation, rather than the socket-based [`dart:io` HttpClient](https://api.dart.dev/stable/dart-io/HttpClient-class.html) implemententation, has several advantages:
+Using the native platform implementation, rather than the socket-based [`dart:io` HttpClient](https://api.dart.dev/stable/dart-io/HttpClient-class.html) implementation, has several advantages:
 
 - It automatically supports platform features such VPNs and HTTP proxies.
 - It supports many more configuration options such as only allowing access through WiFi and blocking cookies.
@@ -29,7 +29,7 @@ Using the native platform implementation, rather than the socket-based [`dart:io
 
 ```dart
 final dioClient = Dio();
-if (Platform.isIOS || Platform.isMacOS || Platform.isAndroid) {
+if (Platform.isIOS || Platform.isMacOS || Platform.isAndroid) {
   dioClient.httpClientAdapter = NativeAdapter();
 }
 ```