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Thread: resultant of vectors

  1. #1
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    resultant of vectors

    Hi guys, this is my first post and i hope this is the correct thread to post in. I believe it is.

    Find the resultant of the vectors
    • 417∠11
    • 317∠87
    • 230∠154
    • 301∠304

    Give the angle between 0 and 360.
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  2. #2
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    Re: resultant of vectors

    just convert them all to cartesian coordinates, add them, and convert the result back to polar coordinates.
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  3. #3
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    Re: resultant of vectors

    Quote Originally Posted by kpae22 View Post
    Hi guys, this is my first post and i hope this is the correct thread to post in. I believe it is.
    Find the resultant of the vectors
    • 417∠11
    • 317∠87
    • 230∠154
    • 301∠304

    Give the angle between 0 and 360.
    I have no idea what $417\angle 11^o$ could mean~? (I will not comment on using degrees).
    Can you explain that notation please?
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  4. #4
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    Re: resultant of vectors

    Quote Originally Posted by Plato View Post
    I have no idea what $417\angle 11^o$ could mean~? (I will not comment on using degrees).
    Can you explain that notation please?
    it's pretty obvious

    A vector of length 417 that makes an 11 degree angle with the x-axis.

    Hating degrees is like hating meters or pounds. It's just a unit.
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  5. #5
    Forum Admin topsquark's Avatar
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    Re: resultant of vectors

    Given that the OP is using degrees, no reference to the axis the angle is made from, and posted this in the Pre-Calc Forum I'm betting pretty heavily that the OP is either taking a Physics class (or perhaps an Engineering class) and practically every Intro Physics text does something like this to the notation.

    So from that standpoint all angles are measured from the +x axis.

    @kpae22 : The first vector has a magnitude of 417 (in whatever units) at an 11 degree angle to the +x axis. This means that the rectangular components are
    $\displaystyle v_x = 417 ~ cos(11) \approx 409.339$
    $\displaystyle v_y = 417 ~ sin(11) \approx 79.567$

    Do this with the other three vectors and then add the components.

    -Dan
    Last edited by topsquark; Nov 7th 2018 at 09:45 PM.
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