The Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

Trapezoid Vectors

Date: 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
   /    \ 
 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
Associated Topics:
High School Basic Algebra

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994- The Math Forum at NCTM. All rights reserved.