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Math Help - Vectors: Finding the magnitude and direction angle

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    Vectors: Finding the magnitude and direction angle

    I need to find the magnitude and direction angle for the vector A + B given A = <-3,2> and B = <1,4>.

    Thank you in advance.
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    Quote Originally Posted by Neversh View Post
    I need to find the magnitude and direction angle for the vector A + B given A = <-3,2> and B = <1,4>.

    Thank you in advance.
    A+B=<-2,6>

    ||<-2,6>||=\sqrt{(-2)^2+6^2}=\sqrt{4+36}=2\sqrt{10}

    Since the vector is in the 2nd quadrant we get

    \theta=\tan^{-1}\left( \frac{6}{-2}\right)+\pi
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