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1. A quadrilateral ABCD is shown, with edge vectors u = AB.v = BC and w = AD. The point E is the intersection of the line segments AC and BD. Suppose now that w = 2u + v. Find AE as a combination of u and v. Hint: Start with AE = r(u+v) for some scalar variable r since E is on the line from A (which is o here) to C. Then use another equation AE = u + s/w - u) since E is on the line from B to D. Compare these equations and use algebra to find T and s. D W E u B A

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Vectors and Quadrilaterals
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