Trapezoid VectorsDate: 9/9/95 at 0:12:45 From: Anonymous Subject: Algebra Geometry - Vectors Dr. Math, I've been trying to get this one for hours.... Please help.... In a trapezoid TXYZ, the vector TX = the vector bZY. If the diagonals meet at O, find an expression for the vector TO in terms of the vector TX and the vector TZ. Thanks in advance. Shailesh Lakhani Date: 9/29/95 at 16:56:44 From: Doctor Andrew Subject: Re: Algebra Geometry - Vectors X____Y / \ /______\ T Z If this diagram is wrong, my solution may still help. To solve this problem, you could put T at the origin and then find the values of the corners of the trapezoid in terms of ZY and TZ which you should probably call something else (a and c maybe). Once you have those points you can write equations for the diagonals and find the point of the intersection. Once you've got the point of intersection, you can set up two equations, one for x and one for y, that add the values of TX and TZ to get O. You don't need to worry about angles. Just think of a vector as being a value (x,y) where x^2 + y^2 = length^2. -Doctor Andrew, The Geometry Forum |
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