Possessive pronouns in Arabic :
Book : كتاب Kitaab
First person ::
my : ي "ee" example : My book : كتابي Kitaaby
Our : نا "naa" example : Our book : كتابنا Kitabunaa
Second person :
Your :
Masculine singular : ك "ka" example : كتابك Kitaabuka , your book
Feminine singular : ك "ki" example : كتابك Kitaabuki , your book
Masculine plural : كم "kom" example : كتابكم Kitaabukom , your book
Feminine plural : كن "kunna" example : كتابكن Kitaabukunna , your book
Third person :
His (Masculine singular) : ه "hu" example :كتابه Kitaabuhu , his book
Her (Feminine singular) : ها "ha" example :كتابها Kitaabuha , her book
Their (Masculine plural) : هم "hom" example :كتابهم Kitaabuhom , thier book
Their (Feminine plural) : هن "hunna" example :كتابهن Kitaabuhunna , their book
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But لك is a different thing
لك actually means "for you" or "yours" the Lam is "for" and the kaf is "you" so they are two parts. a preposition and a pronoun combined together.
so if you want to say the book is for me or the book is mine you can say :
الكتاب لي Al-kitaabu lee
if you want to say the book is for you or the book is yours you can say :
الكتاب لك Al-kitaabu laka (if you are talking to a singular masculine person)
الكتاب لك Al-kitaabu laki (if you are talking to a singular feminine person)
الكتاب لكم Al-kitaabu lakom (if you are talking to a group of men / boys)
الكتاب لكن Al-kitaabu lakunna (if you are talking to a group of women / girls)