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**1. Homework Statement**

A dot B=0.707m^2, A cross B=4.950m^2 k^. If |A|=2.500m and B makes an angle of 135° with the positive x-axis, what are A and B in component form?

**2. Homework Equations**

A*B = |A||B|cos(θ)

A X B = |A||B|sin(θ)@RHR

**3. The Attempt at a Solution**

I have no prior physics experience and my professor seemed to glance over some fundamentals so I'm really at a loss.

I've tried several things but can't seem to make anything work. I tried solving as a system of equations, but it just didn't look right. If I solved like I would expect I'd end with a magnitude for B that had no unit which made no sense because A has a unit of meters.

I really want to LEARN this so if someone could give me a clue about which way to take it, I'll be happy to pound it out. Not asking for a handout but rather some guidance for a complete physics newb.

Thanks