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Math Help - Parallel and Perpendicular Vectors

  1. #1
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    Parallel and Perpendicular Vectors

    Given vector v= 3i + 4j and vector F=4i+j

    find the component of vector F parallel to vector v
    find the component of vector F perpendicular to vector v

    I found the unit vector of v...but I'm not sure what I'm suppose to do with it. My textbook says (F dot v)v provided ll u ll=1

    Thanks!
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  2. #2
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    Quote Originally Posted by Linnus View Post
    Given vector v= 3i + 4j and vector F=4i+j

    find the component of vector F parallel to vector v
    find the component of vector F perpendicular to vector v

    I found the unit vector of v...but I'm not sure what I'm suppose to do with it. My textbook says (F dot v)v provided ll u ll=1

    Thanks!
    You mean "provided ||v||= 1". Since you have found unit vector u such that u is in the same direction as v (I assume that is what you mean by "the unit vector of v"), go ahead and apply that formula to F and u. What is F\cdot u? Then multiply the vector u by that number.
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  3. #3
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     F \cdot v would be 12i+4j, right? Then do I multiply that by the unit vector of v? which would be 3/5i+4/5j? I'm not quite sure how you would multiply the unit vector with  F \cdot v

    Thanks again!
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