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Vector Projection

  1. Oct 15, 2009 #1
    1. The problem statement, all variables and given/known data

    I have a vector diagram attached below. Vector A is perpendicular to vector B.

    How do you figure out what angle to use in order to project vector A onto the x and y axis?


    2. Relevant equations

    A dot B = ABcos(angle)

    3. The attempt at a solution

    180-30-90 = 60?
     

    Attached Files:

  2. jcsd
  3. Oct 16, 2009 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Exactly right- though you don't really need the "180" and "90". Extend A back to line C and you will see that the three lines form a right triangle. That tells you that the angle A makes with C is the complement of 30 degeres, 60. And, since C is parallel with the x-axis, extending it further shows (corresponding angles in parallel lines) that it makes the same angle with the x-axis.
     
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