Vectors


by Adrianw2
Tags: vectors
Adrianw2
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#1
Oct10-07, 11:51 AM
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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
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Hootenanny
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Oct10-07, 12:04 PM
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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.
Adrianw2
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#3
Oct10-07, 12:11 PM
P: 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.

Hootenanny
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#4
Oct10-07, 12:16 PM
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Vectors


Quote Quote by Adrianw2 View Post
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.
I suggest you write out two equations using [itex]\theta[/itex] to denote the unknown angle.


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