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+--- Thread: Displaying and manipulating vectors in Geometry App (/thread-2107.html)
Displaying and manipulating vectors in Geometry App - mcjtom - 09-10-2014 09:30 AM
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!
RE: Displaying and manipulating vectors in Geometry App - Eddie W. Shore - 09-10-2014 01:00 PM
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.
RE: Displaying and manipulating vectors in Geometry App - Angus - 09-10-2014 01:58 PM
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.
RE: Displaying and manipulating vectors in Geometry App - Eddie W. Shore - 09-10-2014 07:27 PM
I was looking for lines that can be drawn with arrows, but no luck.