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Math Help - Parallel and Perpendicular Vectors

  1. #1
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    Parallel and Perpendicular Vectors

    To find parallel vector, divide by norm.
    Perpendicular vectors: dot product equals 0

    That is what I know about parallel and perpendicular vectors. Can someone make a quick sample problem to apply these principles? (I know what norm and dot product are)
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  2. #2
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    Re: Parallel and Perpendicular Vectors

    You can find a [b]unit[b] vector (norm= 1) parallel to a given vector by dividing by the norm. Multiplying a given vector by any number will give a parallel vector. Yes, two vectors are perpendicular if and only if their dot product is 0.

    Okay: find a unit vector parallel to the vector 2i+ 3j- 4k. Find a vector parallel to 2i+ 3j- 4k that has length twice as long!

    Relatively easy problem, find a vector, in the xy-plane, perpendicular to 3i+ 4j. Slightly harder, find a vector perpendicular to 4i- 3j+ 2k.
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  3. #3
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    Re: Parallel and Perpendicular Vectors

    Thank you. Had to revisit what you told me
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