This is a long-ish theory so don't read it if you don't want to. I have warned you. Also, I can never success fully post attachments so if the attachment can't be seen there is a link right below the attachment. If you can see the attachment then there's no need to follow the link.
1)Let's start off with the Crossbow:
There are many occurrences in the manga where the Susano'o chakra is moved. I believe that the Hyuuga Vacuum Wall Palm and Rotation are capable of moving and diverting Susano'o chakra.
Here is Danzou changing the course of the arrow:
Danzou uses Moukton to change the course of the arrow. I propose that a vaccuum wall palm can change the course of the arrow.
Here Danzou uses Vacuum Blade Rush as well as suction from Baku to make a huge gap in the Susano'o.
If you look at the image closer. It doesn't look like he's destroyed a bit of Susano'o,it looks like he's made an opening in the back by moving the Susano'o chakra to the side.
I recognize that Baku made Danzou's technique stronger but the Vacuum Wall Palm is a much stronger Vacuum technique than the Vacuum Blade Rush. I'm sure everyone's getting tired of seeing the Hiashi deflecting Ten-Tails scan so I won't show it but the point is that Vacuum Palm Technique is way stronger and it can move a considerable amount of Susano'o chakra. It can move the arrow.
2)The sword of Totsuka.
I believe they can dodge these attacks
Here it cuts off a whole lot of snake heads
The snakes were huge creatures are way much easier to hit than a hyuga.
Also, the snakes are on par height so it would be much shorter than to jab or swing a person on the ground
Here it hits Orochimaru
We don't see when Itachi started the attack so we can't use this to measure how fast the attack is.
Orochimaru wasn't even completely out so he couldn't move.
Also Oro is again on height level with Susano'o. Here you can see that the horizontal distance between the two isn't very large. And it's clear that Oro was on par in terms of height.
Here Itachi attacks Nagato
Nagato obviously doesn't see the sword coming. A definite surprise attack and again, Nagato can hardly walk on his feet and so even if he had seen it coming, he couldn't dodge it. This also doesn't tell us how fast the technique is.
This isn't enough info from the sword to claim that somebody that can move perfectly and is on the ground will be hit easily. So we can't guarantee that this sword will hit the Hyuga. If the manga hasn't revealed how fast it is, we can't assume that is fast just like we can't assume that the Hyuga will use some secret jutsu even if they do possess one. So it's all nice to say that the sword can pierce anything send the user to an eternal genjutsu but the only problem. Will the sword get a hit in the first place?
3)Yasaka Magatama
Here, Itachi uses the technique on the gravitational pull.
We can't say that the technique is as fast as Rasen-Shuriken because the gravitational pull affects the velocity and direction of the techniques.
So to get a grasp of its speed. Let's look at a situation where there isn't a huge gravitational pull. Itachi and Sasuke vs Kabuto.
Here Itachi sends the the technique to Kabuto. This time it is just used as a diversion for Sasuke's arrow. The technique hardly had any effect on the ceiling but it could be because Itachi sent small projectiles. However, if you analyze the technique. The size is more or less the same as the one used against Nagato. Surely just like the arrow, this technique can be moved using Vacuum Wall Palm or Rotation.
I also turned to the anime for assistance.
I trimmed episode 334 and uploaded his technique to Youtube:
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1)Let's start off with the Crossbow:
There are many occurrences in the manga where the Susano'o chakra is moved. I believe that the Hyuuga Vacuum Wall Palm and Rotation are capable of moving and diverting Susano'o chakra.
Here is Danzou changing the course of the arrow:
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Danzou uses Moukton to change the course of the arrow. I propose that a vaccuum wall palm can change the course of the arrow.
Here Danzou uses Vacuum Blade Rush as well as suction from Baku to make a huge gap in the Susano'o.
You must be registered for see images
You must be registered for see links
You must be registered for see images
You must be registered for see links
If you look at the image closer. It doesn't look like he's destroyed a bit of Susano'o,it looks like he's made an opening in the back by moving the Susano'o chakra to the side.
I recognize that Baku made Danzou's technique stronger but the Vacuum Wall Palm is a much stronger Vacuum technique than the Vacuum Blade Rush. I'm sure everyone's getting tired of seeing the Hiashi deflecting Ten-Tails scan so I won't show it but the point is that Vacuum Palm Technique is way stronger and it can move a considerable amount of Susano'o chakra. It can move the arrow.
2)The sword of Totsuka.
I believe they can dodge these attacks
Here it cuts off a whole lot of snake heads
You must be registered for see images
You must be registered for see links
The snakes were huge creatures are way much easier to hit than a hyuga.
Also, the snakes are on par height so it would be much shorter than to jab or swing a person on the ground
Here it hits Orochimaru
You must be registered for see images
You must be registered for see links
We don't see when Itachi started the attack so we can't use this to measure how fast the attack is.
Orochimaru wasn't even completely out so he couldn't move.
Also Oro is again on height level with Susano'o. Here you can see that the horizontal distance between the two isn't very large. And it's clear that Oro was on par in terms of height.
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Here Itachi attacks Nagato
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Nagato obviously doesn't see the sword coming. A definite surprise attack and again, Nagato can hardly walk on his feet and so even if he had seen it coming, he couldn't dodge it. This also doesn't tell us how fast the technique is.
This isn't enough info from the sword to claim that somebody that can move perfectly and is on the ground will be hit easily. So we can't guarantee that this sword will hit the Hyuga. If the manga hasn't revealed how fast it is, we can't assume that is fast just like we can't assume that the Hyuga will use some secret jutsu even if they do possess one. So it's all nice to say that the sword can pierce anything send the user to an eternal genjutsu but the only problem. Will the sword get a hit in the first place?
3)Yasaka Magatama
Here, Itachi uses the technique on the gravitational pull.
You must be registered for see images
You must be registered for see links
We can't say that the technique is as fast as Rasen-Shuriken because the gravitational pull affects the velocity and direction of the techniques.
So to get a grasp of its speed. Let's look at a situation where there isn't a huge gravitational pull. Itachi and Sasuke vs Kabuto.
You must be registered for see images
You must be registered for see links
Here Itachi sends the the technique to Kabuto. This time it is just used as a diversion for Sasuke's arrow. The technique hardly had any effect on the ceiling but it could be because Itachi sent small projectiles. However, if you analyze the technique. The size is more or less the same as the one used against Nagato. Surely just like the arrow, this technique can be moved using Vacuum Wall Palm or Rotation.
I also turned to the anime for assistance.
I trimmed episode 334 and uploaded his technique to Youtube:
[video=youtube;bfUmvag4RVY]https://www.youtube.com/watch?v=bfUmvag4RVY[/video]
">4)Now, the Yata Mirror:
This deflects all ninjustu and physical attacks.
Here you see it block many paper bombs thrown from a kunai
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However the paper bombs still go off, they just don't affect the Susano'o or Itachi
Here we see Kabuto impair Itachi and Sasuke's vision, hearing and overall movement using this technique:
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The sight part of Kabuto's technique works like a flash bomb. Notice that they both had to close their eyes:
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Now look at Shikamaru throw activate a flash bomb from a kunai:
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Notice the effect of 1 flash bomb:
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Imagine sending several of them on a kunai like Sasuke did, the kunai would hit the Yata Mirror and the flash bombs would activate. Even though the Uchiha inside will remain unaffected, they won't see the Hyuga at all for a substantial amount of time.
Now we all know a kunai can't penetrate the Yata Mirror or the Susano'o for that matter of fact and so it is a guarantee that it will hit the the mirror or Susano'o, break and then the flash bombs will explode.
Can an Uchiha simply dodge the attack?
I think not, the Susano'o is extremely huge and to dodge the attack seems very unlikely. Up until now, fast kunai attacks have just been blocked by the Uchiha. Blocking the attack then impairs the Uchiha's vision. Using flash bombs can really drag the battle out until Susano'o fades away.
5) An ordinary Susano'o sword
Here Sasuke uses it cut the pillars and destroy the building of the 5 Kage Summit:
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Here we see Sasuke cut the roots of the Shinju (Ten-Tails):
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So there isn't enough evidence to suggest that this blade is super quick. So it is extremely strong and could probably kill the Hyuga, but that's only if it manages a blow.
6) How does a Hyuga get rid of Susano'o?
There have been many theories on other threads.CC proposes that the Hyuga technique COULD affect Susano'o here:
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Even if it weren't true, Susano'o can't be sustained for too long without Hashirama's cells or Juugo's cells. And so as long as the Hyuga's can dodge and counter. Sooner or later the Susano'o will get rid of itself.
So in conclusion
1) Deflect arrows
2) Dodge Totsuka
3) Dodge/Divert Yasaka
4) Throw flash-bombs at Yata Mirror and hard armour
5) Dodge ordinary sword
6) Wait out the Susano'o