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Displaying and manipulating vectors in Geometry App
09-10-2014, 09:30 AM
Post: #1
Displaying and manipulating vectors in Geometry App
Is there a way of displaying and manipulating vectors in Geometry App?

I can't find it, but I think this would great if students could see how vector addition, subtraction, angles between them, translations etc. work and relate to their coordinates.

Cheers!
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09-10-2014, 01:00 PM (This post was last modified: 09-10-2014 01:26 PM by Eddie W. Shore.)
Post: #2
RE: Displaying and manipulating vectors in Geometry App
I don't recall seeing any feature to draw vectors in the geometry app - I could be wrong.

I think we would have to plot vectors (using line segments?) manually.

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For example, adding two vectors [5,3] and [1,6].

(let I be the imaginary number square root of -1, Shift+3, the point(x,y) command should also work as an alternative)

Set the following objects - Symb screen:
GA = point(0,0)
GB = point(5,3)
GC = segment(GA,GB)
GD = point(5+1,3+6)
GE = segment(GB,GD)
GG = segment(GA,GD) ** result of addition (make this a different color)

Num screen:
coordinates(GD) and have this marked - that gives you the addition of "vectors" GC and GE.

If you want angle, type in the Num screen:
angle(GE,GC) - make sure you calculator is Degrees mode and you pick segments in a counterclockwise fashion

(please see screen shots below)
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If anyone has a better way to do this, please contribute.


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09-10-2014, 01:58 PM (This post was last modified: 09-10-2014 01:59 PM by Angus.)
Post: #3
RE: Displaying and manipulating vectors in Geometry App
When drawing a vector you usually show its direction i.e. plot like an arrow.
You could try to do that by hand, however a specialized command could be helpful plus certainly faster and more comfortable.
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09-10-2014, 07:27 PM
Post: #4
RE: Displaying and manipulating vectors in Geometry App
I was looking for lines that can be drawn with arrows, but no luck.
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