Multiplication of vector problem

  1. 1. The problem statement, all variables and given/known data
    Let B = 5.00m at 60 degrees. Let C have the same magnitude as A and a direction angle greater than that of A by 25.0 degrees. Let A*B = 30.0 m^2 and B*C = 35.0 m2. Find A.


    2. Relevant equations
    Pythagoras maybe.


    3. The attempt at a solution
    Well, if A*B is 30 m^2, and B is 5.00m, then shouldn't A = 6.0 m? However, I don't think it's that easy, so I made the right angle triangle with B (5.0m) as the hypotenuse at 6 meters above the horizontal, and got 4.33m as the opposite and 2.5m as the adjacent. Am I going to be calculating areas of triangles? I'm not really sure where to go from there.

    Thanks
     
  2. jcsd
  3. Hootenanny

    Hootenanny 9,679
    Staff Emeritus
    Science Advisor
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    I'm assuming the astericks denote the scalar product? I think your going to have to set up a system of simulatenous equations.
     
  4. Yeah, the astericks are actually a dot, so it may have something to do with the dot product where it's AxBx + AyBy or something along those lines.
     
  5. Hootenanny

    Hootenanny 9,679
    Staff Emeritus
    Science Advisor
    Gold Member

    I suggest you write out two equations using [itex]\theta[/itex] to denote the unknown angle.
     
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