If I have all the feats from Dimensional Agility to Dimensional Savant and can cast Dimension Door myself (once per day), what items can I use to cast dimension door as a Swift Action?

Dimensional Dervish says:

You can take a full-attack action, activating abundant step or casting dimension door as a swift action.

So if I use a wand, or Ring of Spell Storing, or Ring of Wizardry IV, to cast Dimension door will it be activated as a Swift Action/will I still be able to use Dimensional Dervish even if I cast it as a standard action?

Lastly how would pearls of power fit the equation?

If I have all the feats from Dimensional Agility to Dimensional Savant (and can cast dimension door myself), what magic items can I also use to cast dimension door as a swift action because of the feat Dimensional Dervish?

Can a dimension door spell cast from a wand or dimension door, a dimension door spell in a ring of spell storing, a dimension door spell available due to a ring of wizardry IV, or a dimension door spell recalled by having used a pearl of power (4th-level spell) be activated as a swift action because of the feat Dimensional Dervish? Can I still use Dimensional Dervish even if I cast dimension door as a standard action?

If I have all the feats from Dimensional Agility to Dimensional Savant and can cast Dimension Door myself (once per day), what items can I use to cast dimension door as a Swift Action?

Dimensional Dervish says:

You can take a full-attack action, activating abundant step or casting dimension door as a swift action.

So if I use a wand, or Ring of Spell Storing, or Ring of Wizardry IV, to cast Dimension door will it be activated as a Swift Action/will I still be able to use Dimensional Dervish even if I cast it as a standard action?

If I have all the feats from Dimensional Agility to Dimensional Savant and can cast Dimension Door myself (once per day), what items can I use to cast dimension door as a Swift Action?

Dimensional Dervish says:

You can take a full-attack action, activating abundant step or casting dimension door as a swift action.

So if I use a wand, or Ring of Spell Storing, or Ring of Wizardry IV, to cast Dimension door will it be activated as a Swift Action/will I still be able to use Dimensional Dervish even if I cast it as a standard action?

Lastly how would pearls of power fit the equation?

If I have all the feats from Dimensional Agility to Dimensional Savant and can cast Dimension Door myself (once per day), what items can I use to cast dimension door as a Swift Action?

Dimensional Dervish says:

You can take a full-attack action, activating abundant step or casting dimension door as a swift action.

So if I use a wand, or Ring of Spell Storing, or Ring of Wizardry IV, to cast Dimension door will it be activated as a Swift Action/will I still be able to use Dimensional Dervish even if I cast it as a standard action?

If I have all the feats from Dimensional Agility to Dimensional Savant and can cast Dimension Door myself (once per day), what items can I use to cast dimension door as a Swift Action?

Dimensional Dervish says:

You can take a full-attack action, activating abundant step or casting dimension door as a swift action.

So if I use a wand, or Ring of Spell Storing, or Ring of Wizardry IV, to cast Dimension door will it be activated as a Swift Action/will I still be able to use Dimensional Dervish even if I cast it as a standard action?