SIMPLE vector problem,, just making sure

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The discussion revolves around solving a vector problem involving three vectors with specified angles and one known magnitude. Participants confirm that the problem is solvable using trigonometry, as there are two equations and two unknowns. However, the main challenge lies in determining the magnitudes of vectors A and B, which remain unknown. The user expresses difficulty in progressing due to this lack of information. Overall, the focus is on finding the components, magnitude, and angle of the resultant vector.
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Homework Statement


vector A = 66.28 degrees north of east, unknown magnitude
vector B = 40.56 degrees north of west, unknown magnitude
vector C = 46.8(magnitude), south

all vectors start form the origin
their magnitudes are given in arbitrary units

find:
a) components of resultant
b) magnitude of resultant
c) angle w/ the x-axis of the resultant

2. The attempt at a solution
i want to make sure if this problem doesn't lack any given..
can this problem be solve?
 
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Yes it is solvable. You have 2 eqns and 2 unkowns.
 
Hahaha,, i don't know what happened on me! yes, ur right,, thanks,, it's solvable.. just simple trigonometry
 
so it's solvable,, thanks...

but I'm stucked in getting the magnitudes of vectors A and B

i'l appreciate any help...
 
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