<prompt> Etsa vector ea 3-dimensional ka likarolo tse latelang: x 2, y -1, z 4nan  <response>: Instruction in English: Construct a 3-dimensional vector with the following components: x 2, y -1, z 4 . Response in English: Sure! A vector in three-dimensional space is usually represented by an ordered group of three real numbers, one for each of its rectangular components x, y, and other for the z component. A possible way to denote it classically is using a column matrix.Based on the given components, the 3-dimensional vector v with components x 2, y -1, and z 4 can be represented as:v 2 -1 4 Alternatively, you could use other notations, like denoting the vector with pointed parentheses, angle brackets or just commas: v 2, -1, 4 v 2, -1, 4 v 2i - j 4k using standard basis vectors i, j and kAll of these notations describe the same vector with the given components. . Response in Sesotho: Ehlile! Vector sebakeng se nang le mahlakore a mararo hangata e emeloa ke sehlopha se laetsoeng sa linomoro tse tharo tsa sebele, e le ngoe bakeng sa e ngoe le e ngoe ea likarolo tsa eona tse khutlonnetsepa x, y, le tse ling bakeng sa karolo ea z. Mokhoa o ka khonehang oa ho e hlalosa ka mokhoa oa khale ke ho sebelisa matrix a kholomo. Ho latela likarolo tse fanoeng, vector ea 3-dimensional v e nang le likarolo x 2, y -1, le z 4 e ka emeloa e le: v 2 -1 4 Ntle le moo, o ka sebelisa lintlha tse ling, joalo ka ho supa vector e nang le masaka a nchocho, masakaneng a likhutlo kapa lifeheloana feela: v 2, -1, 4 v 2, -1, 4 v 2i - j 4k ho sebelisoa li-vectors tse tloaelehileng tsa motheo i, j le k Linoto tsena kaofela li hlalosa vector e tšoanang le likarolo tse fanoeng. 