That's what "unit" means.
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A unit vector is a vector whose magnitude is one. Vectors can have magnitudes that are bigger or smaller than one so they would not be unit vectors.
a unit vector is a vector which has exact same direction and has its length or magnitude equal to one
No, by definiton, a unit vector is a vector with a magnitude equal to unity.
A vector of magnitude 1.
A unit vector is one which has a magnitude of 1 and is often indicated by putting a hat (or circumflex) on top of the vector symbol, for example: Unit Vector = â, â = 1.The quantity â is read as "a hat" or "a unit".