I know the coordinates of points E and Q, so I know their euclidean distance L. I'm looking for the point W with coordinates (a,b) related to other known values?
One spot and distance known, Second spot unknown
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analytic-geometry
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0You know *r* as well, right? Or do you want the answer in terms of *r* – 2012-04-10
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0Also, that link is opening up all sorts of popups on my browser. Please use the "add image" button. – 2012-04-10
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0No, I know *r* . I'm looking for the *a* and *b* in terms of the others. – 2012-04-10
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0Assume the $E$ is the origin, for a moment. $\vec{EQ}=\binom{x}{y}=L\binom{\sin \theta}{\cos \theta}$. Then use vector addition: $\vec{EW}=\vec{EQ}+\vec{QW}$. If $E$ is not the origin, shift the result by $\vec{E}= \binom{e_1}{e_2}$. (all assuming $\theta$ is also known...) – 2012-04-16