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Difference between support.v7.widgets and android.widgets Toolbar, Fragment

I am creating a new application and will have to deal with ActionBar. I know that I have to extend the AppCompatActivity because the ActionBarActivity is deprecated, however I still do not understand why I have to use the support.v7.widget Toolbar rather than the android.widget Toolbar even though I am using the latest API ?
Thank you
EDIT1:
I understand now that the support.v7.widgets are there to enable devices with old APIs to comprehend what are the new functionalities added in the newer versions and mimic them in their own way. Is that correct ?
If that is correct and I do not want to have any sort of backwards compatibility does this mean I can move forward and use the android.widget Toolbar ?
Also using the android.widget Fragment unfortunately I can not add it to a ViewPager. Why is that ? Why does it force me to use an older version which has been extended to mimic the behaviour of the new implementation of the component ?
I think I just getting lost in all of those "support" libraries. Can someone briefly ( or not ) explain all that - why are there things in the support libraries that are not included or updated in the newer versions of the API ?
Thank you

First of all you are asking Good Question, Android will add advanced features continuously in different API levels but those features are available from which level of API they are added
For Example: Consider android fragment functionality was added in API level 11 that means it will work for API level 11 and above but your application need for API level 10 devices also at that time it wont be work. For this reason android develop support library for cover a wide range of Android devices (support for low level API) to work those functionality.
Android always recommend developers to use support library for development for more information check here

Support.V7.widgets and widgets.android both are different libraries.
support.v7.widgets uses design library.
toolbar actually not an actionbar we are manually implementing a
ActionBar with support library.
And there are lot more new inbuilt properties are included like observableScrollActivity and More material designs...,
Why we aren't using default actionbar?
Because ActionBarActivity is depricated. Comparing old actionbar with our latest sdk actionbar it gives good look.
.setSupportActionBar(toolbar);
After Setting support to the toolbar gives actionbar properties to the toolbar like we can hide it by getSupportActionBar().hide();

Doing an Android sliding drawer without the support APIs

I'd like to add a sliding drawer to my app which is using the min sdk version of 16 and a target sdk of 21 and should allow it to use the most recent features of the platform.
I looked around on how to implement a sliding drawer, and all the articles I found talk about using some support APIs to do just that.
My app is not yet using these support APIs.
I wonder if implementing the sliding drawer is possible without any support APIs, and if so, if there is any resources showing just that.

DrawerLayout, the basis for Creating a Navigation Drawer is only found in the Android Support Library (along with many other Support Library only APIs). There is nothing in the Android framework that provides this same functionality.
To provide the most consistent experience to users, you should just use the Support Library.

You should consider using support APIs, but if you really dont want to, you can use user-created library.
Here's one I used for one of my projects:
https://github.com/mikepenz/MaterialDrawer

Yes, it is always possible. However, the DrawerLayout class is available only in support libraries.
When I first realized that, it made no sense to me. But now I see support libraries as an extension of the core libraries (android.*).
Anyway, I recommend using the support libraries or you will have to create the logic to do exactly the same from scratch.

You can use android design support library, it's working on all devices in android and it's open source so you can edit it as you like with custom element.
Here's a reference how to implement Navigation drawer using new android support library

Version supported by navigational drawer in android

Android Navigational Drawer is supported on minimum which version? Also can we make Custom Navigational Drawer in android? If we can then kindly tell me how to get started. I have read the documentation from Android Developer Site but many things I can't understand and want help
Thanks in Advance.

The Navigational Drawer is part of the suport library v4.
From the Android doc:
Support android.app classes to assist with development of applications for android API level 4 or later.
So you can use the navigation lib from api 4 onwards.

Its available from API 2. I believe. So almost all device. I recollect seeing it in Google IO videos.

ActionBarCompat and Using Navigation Tabs With Fragments

I am using the ActionBarCompat project to allow for backwards compatability with the ActionBar. Before anyone says about ActionBarSherlock I decided to use this because its provided by Google and I don't want to rely on an outside created library. However, if someone can say that any new software updates will be supported by ActionBarSherlock then I may be swayed.
I must also add that using the latest CompatibilitySupport Library is a must so if I can't do that then I can't use ActionBarSherlock
My Problem
I have implemented my action bar using the ActionBarCompat library and it works on all API's.
I now need to add Tabbed navigation to allow the switching between Fragments
My Question
Is this easy to implement or do I have to add handling for this myself?
Thanks in advance

After more hunting around for an answer, I found out that its not supported in the ActionBarCompat.
I'm going to look into ActionBarSherlock. The only thing holding me back is whether or not I can incorporate the SupportMapFragment in it.

"The type TabActivity is deprecated" For app tab

"The type TabActivity is deprecated"?
I am making the Tabs of app following tutorial book.
I've checked from the android developer.com website, but i have no ideas on the significance of the following message : This class is deprecated.
New applications should use Fragments instead of this class; to continue to run on older devices, you can use the v4 support library which provides a version of the Fragment API that is compatible down to DONUT."* (http://developer.android.com/reference/android/app/TabActivity.html)
What is v4 support library?
How to finish the tab functions?

You can still use a deprecated package. It is however recommended to use Fragments, and thus the support package. You can read more about it here. However, if you are a beginner at java and android development, I would recommend ignoring the deprecation for now and come back to this when you have completed the tutorial you are currently using if you find it educating.
If you want to watch a nice example of tabbed navigation using Fragments, then create a new project in Eclipse using android 4.0 or later. Make sure your android-plugin is updated. You will get the option to create a project with basic navigation already implemented.

"Deprecated" means that the api developers don't recommend using it anymore, probably because its not a good model, or inefficient, etc. Fragments were introduced in Honeycomb and can be used to provide a similar functionality as tabs and is more in-line with android's current design philosophy.
Since Fragment was introduced in Android 3.0 Honeycomb, you might think you cannot use that for pre-Honeycomb devices. Enter Support Libraries. They are libraries which you can include in your application which needs to run on pre-Honeycomb and still use this class.
So if you want to, you can finish the TabActivity as described in whatever tutorial you are following, it'll probably work on a few more upcoming android versions. But it is recommended that you start using Fragments.