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Math Help - More Vector help

  1. #1
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    More Vector help

    I normally wouldn't be asking this, but we never went over this type of problem in class. Watch it be something obvious.

    I have to find a vector v given magnitude:

    ||v|| = 5

    and direction:

    u = <3, 3>

    No clue what to do. I tried to find the unit vector of <3, 3>. Obviously that didn't work because I got a completely different vector than what is given as the answer.
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  2. #2
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    \left\| u \right\| = 3\sqrt 2 \quad \mbox{then}\quad v = \frac{5}{{3\sqrt 2 }}u = \left\langle {\frac{5}{{\sqrt 2 }},\frac{5}{{\sqrt 2 }}} \right\rangle <br />
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  3. #3
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    Wait....how did you get ||u|| = 3\sqrt 2?

    EDIT: Nevermind. I figured out that you took the magnitude of u.
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  4. #4
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    \sqrt {\left( 3 \right)^2  + \left( 3 \right)^2 }  = \sqrt {2\left( 3 \right)^2 }  = 3\sqrt 2 <br />
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