Find the unit vector that has the same direction as the vector v.?

v= 8i

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  • 7 years ago
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    Recall that if any vector that is a scalar multiple of v has the same direction as v. In the case of making a unit vector that has the same direction as v, we need to divide v by its magnitude; the resulting vector is parallel to v (as it is a scalar multiple of v since |v| is just a scalar), and has magnitude 1 (since dividing a vector by its magnitude gives a vector of length 1).

    Since 8i has length 8, the required unit vector is:

    (1/8)v = (1/8)(8i) = i.

    I hope this helps!

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  • 4 years ago

    V = j. Um... Ok. The vector given goes immediately in a single path from the beginning. The unit vector has magnitude of 1. So, take a vector going straight within the same path (straight positive on the j axis, with out a i aspect) that has magnitude one.

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  • 7 years ago

    a unit vector is as simple as, <1,0>, <-1,0>, <0,1>, <0,-1> they are the only four "unit vectors"

    for your question the vector is going <8,0> - there fore the unit vector in the same direction should be fairly obvious.

    Source(s): GENIOUS!
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  • Philo
    Lv 7
    7 years ago

    1i, of course. in general, divide v by its length.

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