Calculate Work of Vector Force in XY Plane

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Idividebyzero
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1. A particle moving in the xy plane undergoesa displacement ~s = (sxˆı + sy ˆ|), with sx =
1.57 m, sy = 3.21 m, while a constant force F=(Fxˆı+Fyˆ|),withFx=5.81N,Fy=3.93 N, acts on the particle.
Calculate the the work done by vector F.
.




2.W=FDcos(theta)
inverse tangent



3. first found the magnitude of the resultant vector for the displacement via the theorum of pathagoreas. Using the same method i found the magnitude of the force resultant. Used inverse tangent times y over x for the angle. with those values i pluged into W=F*Dcos(theta). answer was incorrect. Okay, thought about it some more, the only work done through the applied force is on the X axis using just the x vectors calculated the work, that is also incorrect.
 
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never mind i had a brain fart forgot unit vector dot products...lmao