How Can Cross Products Help Solve Vector Problems?

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The discussion focuses on solving a vector problem that involves understanding cross products. The user expresses confusion about how to proceed after finding angles and suggests that knowledge of cross products might be necessary. They attempted to draw a perpendicular line from a force vector to a reference line but are uncertain about the validity of their approach. The conversation emphasizes the importance of visualizing the problem with a triangle to clarify relationships between the vectors involved. Overall, the thread highlights the need for a solid grasp of vector operations to tackle the problem effectively.
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Homework Statement



[PLAIN]http://img715.imageshack.us/img715/8128/66497284.jpg

Homework Equations



The Attempt at a Solution



I'm really confused about this question and not sure what to do. I've only been able to find the angles and don't really know what to do next. I also think that it i might need to know how to do cross products to find the expression but I'm not sure, since i haven't really learned about it yet. so i would not know when and how to apply it to this problem. If anyone can give me on how i should proceed in doing the problem in a. thanks.

Edit:
So I've tried to draw a perpendicular line from end of F to AB and would get something like this
Fab = Fcos55
i've actually thought of this before but I'm not so sure if this would be allowed, like if it's breaking any rules or somthing
 
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Start by drawing a triangle in which the sides are parallel to AB, perpendicular to AB and F itself. What do the sides of the triangle represent? And what can you conclude from that?
 
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