A GEOMETRIC INTERPRETATION OF EQUAL SUMS OF CUBES
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Title: A GEOMETRIC INTERPRETATION OF EQUAL SUMS OF CUBES

Essay Details:

Subject: Science
Author: Cindy N
Date: April 21, 2015
Level: University
Grade: A
Length: 2 / 418

Essay text:

We get the corner: We have . Let’s put our corner in the zero vector point: Then A=(0,0,0), D=(a,0,0), C=(0,b,0), B=(0,0,c). Similarly, The magnitude of cross product of two vector gives us the area of the parallelogram. So, the area of the triangle BCD is one half from the magnitude of cross product of vectors BD and BC. Let p=Area of ?ABC r=Area of ?ACD q=Area of ?ABD s=Area of ?BCD Then we see that But we will try to find something looking like Let’s take an isosceles triangle ABC, where AB=AC=r, take a point D on BC and take BD=p, CD=q. Without loss of generality take p?q. Let AD=s...

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