The two characters I'm talking about here is the katakana "ka" (カ) and the kanji 力 as in [入力]{にゅうりょく}.
Just by looking at the two characters in digital text form, they seem to be written in the same way, except that the katakana version seems smaller. Does this mean that when I am writing Japanese I should also make it smaller? (Note that by smaller I don't mean this small: ゅ)
Also, in some fonts, I have seen the first stroke of the katakana version written without the tick at the end. It just draws a horizontal line then a vertical line like this:
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instead of this:
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Can I consider the first way shown above as a "sans serif" version? In handwritten Japanese, can I write that as well?