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Math Help - graphing a vector containing sin and cos

  1. #1
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    Exclamation graphing a vector containing sin and cos

    r(t)= 3cos(t)i + sin(t)j + (4t)k


    how would I describe and sketch the curve this represents?
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by cottekr View Post
    r(t)= 3cos(t)i + sin(t)j + (4t)k


    how would I describe and sketch the curve this represents?
    This describes an elliptical helix. Its graph is in the attached image.
    Attached Thumbnails Attached Thumbnails graphing a vector containing sin and cos-elliptichelix.png  
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    how would the graph be affected if the second entry were 3sin(t)j ?
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  4. #4
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by cottekr View Post
    how would the graph be affected if the second entry were 3sin(t)j ?
    It would become a circular helix with radius 3.
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