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Construction for Three Vectors with Sum Zero
On the sides of a triangle
, construct three parallelograms
,
and
. Then
.
Proof:
.
You can move the vectors into a cyclic (sum-zero) configuration using the slider. Vertices can be moved with locators.
Contributed by:
Izidor Hafner
Using code by:
Jaime Rangel-Mondragon
THINGS TO TRY
Drag Locators
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
RELATED LINKS
Another Generalization of Pythagoras's Theorem
(
Wolfram Demonstrations Project
)
Cross's Theorem
(
Wolfram Demonstrations Project
)
Napoleon's and van Aubel's Theorems
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Construction for Three Vectors with Sum Zero
"
http://demonstrations.wolfram.com/ConstructionForThreeVectorsWithSumZero/
Wolfram Demonstrations Project
Published: September 1, 2016
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