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Vector addition questions

  1. Feb 27, 2009 #1
    Vector A has a magnitude of 7.90 units and makes an angle of 43.0° counter-clockwise from the positive x-axis. Vector B has a magnitude of 8.00 units and is directed along the negative x-axis.

    (a) Find the vector sum vector A + vector B .
    Magnitude of vector A + vector B = ? units
    Direction of vector A + vector B : ?° counterclockwise from +x-axis

    (b) Find the vector difference vector A - vector B .
    Magnitude of vector A - vector B : ? units
    Direction of vector A - vector B : ?° counterclockwise from +x-axis

    My attempt:
    Ok, so I find the x and y components of vector A and B which is....
    Ax=7.9 cos 43 = 5.778
    Ay=7.9 sin 43 = 5.388

    Bx=-8
    By= 0

    Now...I'm not sure what to do next?
     
  2. jcsd
  3. Feb 27, 2009 #2

    LowlyPion

    User Avatar
    Homework Helper

    Welcome to PF.

    Add the x,y components together to get the components of your result in part a).

    Make Vector components of B negative and then add the components together as before for part b).

    To figure magnitudes
    |Vector|2 = = X-component2 + Y-component2

    To figure angle Y-Component/X-component = tanθ
    (Make a drawing to be sure you have the angle in the correct quadrant.)
     
  4. Feb 27, 2009 #3
    Got it. Awesome. Thanks.
     
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