# Multiplication of vector problem

1. ### Adrianw2

14
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. ### Hootenanny

9,678
Staff Emeritus
I'm assuming the astericks denote the scalar product? I think your going to have to set up a system of simulatenous equations.

3. ### Adrianw2

14
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.

4. ### Hootenanny

9,678
Staff Emeritus
I suggest you write out two equations using $\theta$ to denote the unknown angle.

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