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Math Help - Application of vector

  1. #1
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    Application of vector

    An aircraft on a bearing of 190 degree and traveling at 200 km/h is affected by a wind bearing 270 degree and blowing at 75 km/h. Use Cartesian vectors to determine the resultant vector
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  2. #2
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    Hello, lakshmi_arin!

    An aircraft on a bearing of 190 and traveling at 200 km/h
    is affected by a wind bearing 270 and blowing at 75 km/h.
    Use Cartesian vectors to determine the resultant vector
    On a Cartesian system, it looks like this:
    Code:
                  :
                  :
             75   :
       W *--------* - - - -
             80 /:O
                / :
               /  :
              /200
             /
            *
            P

    The plane's vector is: . \overrightarrow{OP} \:=\:\langle \text{-}200\cos80^o,\:\text{-}200\sin80^o\rangle

    The wind's vector is: . \overrightarrow{OW} \:=\:\langle \text{-}75,\;0\rangle


    The resultant is: . \overrightarrow{OP} + \overrightarrow{OW} \;=\;\langle \text{-}200\cos80^o - 75,\;\text{-}200\sin80^o\rangle

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