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Math Help - Using Cartesian Vectors

  1. #1
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    Using Cartesian Vectors

    How would I solve the question below using Cartesian vectors?

    10. A plane is flying southeast at a constant speed of 900 km/h. The wind is blowing towards the north at 100 km/h. Determine the resultant velocity of the plane relative to the ground.

    How would I do this? I can use geometric vectors and get the correct answer and angle, but the the Cartesian vectors.
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  2. #2
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    Quote Originally Posted by Barthayn View Post
    How would I solve the question below using Cartesian vectors?

    10. A plane is flying southeast at a constant speed of 900 km/h. The wind is blowing towards the north at 100 km/h. Determine the resultant velocity of the plane relative to the ground.

    How would I do this? I can use geometric vectors and get the correct answer and angle, but the the Cartesian vectors.
    air vector , \vec{A} = 450\sqrt{2} \cdot \vec{i} - 450\sqrt{2} \cdot \vec{j}

    wind vector, \vec{W} = 100 \vec{j}

    ground vector, \vec{G} = \vec{A} + \vec{W}

    add the components
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  3. #3
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    I figured out my mistake, I thought the wind speed was 10 km/h. Thanks for your aid, however, what is i and j?
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  4. #4
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    Quote Originally Posted by Barthayn View Post
    ... however, what is i and j?
    i and j are the respective unit vectors in the x and y directions.
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