Questions & Answers about Saçına yeni bir şekil vermek için kestiriyor.
Why does the translation say "having his hair cut" instead of just "cutting his hair"?
Because of the causative suffix -tir in kestiriyor. The verb root is kesmek (to cut). Adding -tir makes it kestirmek, which means to have someone else do the cutting. If he were cutting his own hair with scissors, it would just be kesiyor.
How does the word saçına break down? Could it also mean "to your hair"?
Yes, out of context it could mean either! Here, it means "to his hair" and breaks down as saç (hair) + ı (his, 3rd person possessive) + n (buffer letter) + a (dative case, "to"). It looks exactly the same as "to your hair", which is saç + ın (your) + a (to). We know it's "his" because the main verb kestiriyor is in the "he/she/it" form.
Why is the dative case ending (-a) attached to the end of saçına?
The dative case (meaning "to" or "for") is required by the verb vermek (to give). Just like in English, you give a shape to something. So, saçına şekil vermek literally means "to give a shape to his hair".
Why is bir placed in the middle of yeni bir şekil?