If you're talking about the smite enchantment, then no. Smite affects Zombies and Skeletons.
Smite is an enchantment you can put on swords. With it, you can do extra damage to zombies, zombie pigmen, and skeletons.
Smite increases damage against zombies, skeletons and zombie pigmen.
Smite increases damage to undead mobs."Each level separately adds 2.5 ( × 2 1/2) extra damage to each hit, to "undead" mobs only" - gamepedia
It makes the sword stronger against undead foes
If you're talking about the smite enchantment, then no. Smite affects Zombies and Skeletons.
Smite is an enchantment you can put on swords. With it, you can do extra damage to zombies, zombie pigmen, and skeletons.
Smite increases damage against zombies, skeletons and zombie pigmen.
Smite increases damage to undead mobs."Each level separately adds 2.5 ( × 2 1/2) extra damage to each hit, to "undead" mobs only" - gamepedia
To smite (kill) another player, you first have to be in melee range of them. Then simply attack them by left clicking until they die.
It makes the sword stronger against undead foes
It does more damage to spiders. Smite does more damage to the undead.
Smite on enchanted swords in both the Xbox and PC/Mac edition mean that it does more damage on the undead, such as zombies and skeletons.
It makes lighting hit the player that you entered into the /smite command
That all depends on what you want to accomplish using the sword. If you want to kill undead mobs easier, then smite. If you want to push back mobs, then knockback.
Present: smite/smites Past: smote Past participle: smitten
of Smite, of Smite, imp. (/ rare p. p.) of Smite.