活躍 | Used in business or showbiz – to be doing a lot of things which are getting the notice of one’s peer group. To succeed in making a name for one’s self. To be going places. |
活動 | Not used in a business context. かつどう means ‘She’s active in charities and AIDS awareness.’ ‘He’s really active in the youth baseball league.’ ’This area has been a hotbed of gang activity.’ |
積極的 | Someone who is active, as in always getting stuff done, a self-starter, someone who is DIY – as opposed to a passive, timid, apathetic, obedient person. |