It will 'resolve without effect' because its target has gone.
Raigeki Break is a Normal Trap Card. "Discard one card to destroy one card on the field."
"Fissure" only determines what it will destroy when it resolves; this is why it is a non-targeting card. If "Scapegoat" were to be chained to "Fissure", then "Scapegoat" will resolve first, summoning the four 0/0 Sheep Tokens. "Fissure" will resolve next, and destroy the one with the lowest attack, almost definitely one of the tokens.
Yes, you can do this. When Divine Wrath resolves and tries to destroy Thought Ruler Archfiend, you can pay 500 LP and destroy Telekinetic Shocker's effect instead.
No, Ancient Gear Engineer does not retain the ability to negate card effects. It only prevents the opponent from ACTIVATING any Spell or Traps during its attack only. If a Trap Card activates outside the attack, it can do nothing against it.For example, if you attack with Ancient Gear Engineer, its effect prevents your opponent from activating any Spell or Trap Cards during the attack. Therefore, if your opponent had a face-down Raigeki Break, he/she cannot activate it.However, if before your Main Phase 1 ends as you are about to enter the Battle Phase, your opponent has a face-down Raigeki Break, he/she can activate it, discard one card, and destroy your Ancient Gear Engineer.
No. Monsters are only ever flipped if they are Flip Summoned, attacked while face-down, or when a card effect specifically says they are flipped. Monsters are never considered flipped if destroyed, or tributed while face-down.
El Shaddoll Fusion doesn't affect how Torrential Tribute resolves. Imagine you summon a monster, and the opponent responds with Torrential Tribute. You chain El Shaddoll Fusion. When that resolves, it lets you perform a Fusion Summon as written. But Torrential Tribute was still correctly activated, and when it resolves it will destroy all monsters on the field - it doesn't matter that the monsters have changed and are different from the ones present when it was activated.
Dark Horus has a Trigger effect that can be activated after an opponent's spell card resolves. However if that spell card's resolution destroys Dark Horus, or flips him face down or removes him from the field, then he is unable to trigger his effect. So Dark Hole will simply destroy him, and he won't do anything.
Just because Call of the Haunted was selected, does not in any way stop it from being chained. Greenkappa is unable to destroy a target that has flipped before Greenkappa's effect can resolve, but will still destroy the other one if that remains face down.
You activate it if it meets its activation condition, which is to destroy an opponent's monster by battle that turn. So if the opponent attacked it, and you boosted the ATK of Jurrac Dino, making it destroy the attacker, then the condition is met.
If an opponent activates a card effect from their hand, "Majestic Star Dragon" can negate and destroy it. For example, if your opponent activates the effect of "Honest" from their hand to boost their monster's ATK, you can chain to the effect with "Majestic Star Dragon" to negate and destroy "Honest" and its effect.
"Light of the Living Arrow" is also known as "Spell Shattering Arrow".The actual (as opposed to the anime version) card effect states:Destroy all face-up Spell cards your opponent controls. For each destroyed Spell card, inflict 500 damage to your opponent.This card will only destroy face-up Spells and cannot be activated until your opponent has a face-up Spell card.However, since this is a Quick Play Spell card, if your opponent activates a Spell card you can chain to its effect with this card. When the chain resolves, your opponent's Spell will be destroyed, they will lose 500 Life Points, and then your opponent's Spell card's effect takes place.This card, like "Mystical Space Typhoon", cannot actually negate card effects. However, if this card is chaining to the effect of a Continuous Spell (i.e. Continuous, Equip, and Field Spell cards), when the chain resolves, that Spell card's effect disappears.
== Okay so my opponent summoned Dark Dust Spirit while I had 3 Harpie Lady's on the field. Can I use Icarus Attack to destroy Dark Dust Spirit or does his effect stop me from doing that? == "Icarus Attack" can be chained to the activation of "Dark Dust Spirit"'s effect and you tribute one of your "Harpie Lady" cards or another Winged-Beast. When the chain resolves, you can destroy "Dark Dust Spirit", but its effect will still work and destroy all face-up monsters on the field.