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This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.

If a word conforms to a special rule, I call it a Vexed Word™.
Use the following examples below to find the rule.

$$\begin{array}{|c|c|}\hline \bbox[yellow]{\textbf{Vexed Words }^™}& \bbox[yellow]{\textbf{Not Vexed Words }^™}\\ \hline \text{ JOTTED }&\text{ DENOTED }\\ \hline \text{ TOGA }&\text{ SKIRT }\\ \hline \text{ QUILLS }&\text{ PENS }\\ \hline \text{ ULNA }&\text{ FEMUR }\\ \hline \text{ ZINC }&\text{ IRON }\\ \hline \text{ FLOUTED }&\text{ BRAGGED }\\ \hline \text{ CHUTES }&\text{ LADDERS }\\ \hline \text{ CATION }&\text{ ANION }\\ \hline \text{ TACKY }&\text{ STICKY }\\ \hline \text{ EXCITE }&\text{ DEPRESS }\\ \hline \text{ ABOUT }&\text{ AROUND }\\ \hline \text{ SCREW }&\text{ BOLT }\\ \hline \text{ MOTH }&\text{ FLAME }\\ \hline \text{ VERB }&\text{ ADVERB }\\ \hline \text{ PYREX }&\text{ PLATE }\\ \hline \end{array}$$

And, if you want to analyze, here is a CSV version:

Vexed Words™, Not Vexed Words™
JOTTED, DENOTED
TOGA, SKIRT
QUILLS, PENS
ULNA, FEMUR
ZINC, IRON
FLOUTED, BRAGGED
CHUTES, LADDERS
CATION, ANION
TACKY, STICKY
EXCITE, DEPRESS
ABOUT, AROUND
SCREW, BOLT
MOTH, FLAME
VERB, ADVERB
PYREX, PLATE

First Puzzle, enjoy!

Edit: Added geometry tag post-solve

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  • $\begingroup$ How much efforts did you add to create this one! Phew..Have tried almost everything I have in my head. Would be an interesting answer. $\endgroup$ – Techidiot Nov 1 '16 at 16:24
  • $\begingroup$ Can each word be tested whether it is a Vexed Word™ without relying on the other words? $\endgroup$ – Karan Atree Nov 2 '16 at 4:06
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Vexed Words™ are ...

words whose letters on a QWERTY keyboard, connected by lines in order of appearance, form a single (usually looping) path that does not cross itself.

EXCITE forms a full loop, ending where it started, but doesn't cross its own path.

Not Vexed Words™ ...

either cross their path, or require doubling back so that it's not a single "curved" path, either all convex or concave.

They're called Vexed because ...

Their paths are conVexed? Best guess I have.

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  • $\begingroup$ +1 I tried QWERTY but didn't knew I was forming a pattern. $\endgroup$ – Techidiot Nov 2 '16 at 7:21
  • $\begingroup$ Why Vexed? Because they are difficult to type? :-/ $\endgroup$ – Techidiot Nov 2 '16 at 7:25
  • $\begingroup$ Forgot to add an explanation of the title; thanks for the reminder. $\endgroup$ – Rubio Nov 2 '16 at 7:27
  • $\begingroup$ Wonderful explanation! :) Would add +1 for that as well $\endgroup$ – Techidiot Nov 2 '16 at 7:57
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    $\begingroup$ @TwoBitOperation Thanks - that was a fun one. I eyed it for quite a while before getting it. "Convex Hull" eh - I knew what was going on, but had no idea how to describe it... thanks for enlightening me :) $\endgroup$ – Rubio Nov 2 '16 at 12:00

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