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Use "unoriented" in a sentence
"Equivalently this is the space of all (unoriented) lines through the origin."
"I recall just enough group theory from university that I sometimes think of PCs as being like a coset of 2 elements – the +1 version and the -1 version, which thus are an unoriented element."
"Here am I marching up and down this terrace alone, unoriented."