I'm a little confused what the difference between
в/на + accusative and
к + dative, when constructing a sentence to approach/move towards/motion towards something. Specifically, in the below two examples, number 1.) for preposition к and number 2.) for preposition в.
As @Arioch answers, is it just that they both mean a motion towards something but that в means that the something was entered? (I realize he/she basically answered my question, but to keep it viable for a question that others may use I kept it worded as a question).
From a suggestion in comments,
For preposition к,
к • (+ dative case) 1.) to, toward к дому — to the house к бра́ту ― to (my) brother ко мне — to me 2.) (time): by, for ко вторнику — by Tuesday, for Tuesday
and for preposition в,
в • 1.) (location) in, at, on (+ prepositional case) Он в теа́тре ― He’s at (in) the theater. 2.) (direction) to, into (+ accusative case) Он идёт в теа́тр ― He’s going to (into) the theater. 3.) (time) at, in, on (+ accusative case) в три часа́ ― at three o’clock в пя́тницу ― on Friday 4.) per три ра́за в день ― three times per day
(Courtesy of www.Wiktionary.org)