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I have a question which asks to find ALL unit vectors parallel to a given vector in R3.

I have computed the unit vector using division of the vector by its length. This is a single solution. What is meant by ALL?

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If you count the vector in the opposite direction as parallel as well (which you should) then that's a second solution.

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    $\begingroup$ Besides that I don’t think there’s another solution $\endgroup$
    – blakedylanmusic
    Aug 22, 2022 at 2:03

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