In Yermiah 3:10 it says:
וְגַם־בְּכָל־זֹ֗את לֹא־שָׁ֨בָה אֵלַ֜י בָּגוֹדָ֧ה אֲחוֹתָ֛הּ יְהוּדָ֖ה בְּכָל־לִבָּ֑הּ כִּ֥י אִם־בְּשֶׁ֖קֶר נְאֻם־יְהוָֽה
Yehuda is referred to as the sister of Israel. Who is it?
At the end of Elokai Nitzor we say:
"עֲשֵׂה לְמַֽעַן שְׁמֶֽךָ עֲשֵׂה לְמַֽעַן יְמִינֶֽךָ עֲשֵׂה לְמַֽעַן קְדֻשָּׁתֶֽךָ עֲשֵׂה לְמַֽעַן תּוֹרָתֶֽךָ"
Is there a source for these sentences? The reason I ask, rather than assume it was just written and instituted by the Rabbis (although perhaps that i...