If you are a Gunslinger, I've found it is easier to use Knife Juggler with Sealed Ahamkara Grasps (or Gamblers Dagger) than getting the grenade kills. If you get a throwing knife headshot kill, you get 35 points for a melee kill AND 45 points for a precision kill which totals the same amount for a grenade kill. You also get your throwing knife back and if you miss, you have the extra one there.
See the video for a nice Throwing Knife kill spree.
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This is what I've been saying. I've been going on 2-3 thousand point sprees in the Vex room haha