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Point -> Vector to a point

Hello everyone,

If i have point in 3D

A=point3d((4,3,2),size=10,color='red',opacity=.5)

How to create a vector from the origin to the point. I know i could define the vector. But I would rather have a point, for plotting reasons

Point -> Vector to a point

Hello everyone,

If i have point in 3D

A=point3d((4,3,2),size=10,color='red',opacity=.5)

How to create a vector from the origin to the point. I know i could define the vector. But I would rather have a point, for plotting reasons

And i would like to plot the Point and the Vector, with automatic labeling of the coordinates.

Point -> Vector to a point

Hello everyone,

If i have point in 3D

A=point3d((4,3,2),size=10,color='red',opacity=.5)

How to create a vector from the origin to the point. I know i could define the vector. But I would rather have a point, for plotting reasons

And i would like to plot the Point and the Vector, with automatic labeling of the coordinates.

I have managed to do this like:

from sage.plot.plot3d.shapes2 import frame3d
F=frame3d([0,0,0],vector([10,10,10]),color='red')
A=points((4,3,2),size=10,color='red',opacity=.5)
B=point([(4,3,8)],size=10,color='red',opacity=.5)

t = var('t')
p = vector([4,3,2])
q = vector([0,0,0])
vec=parametric_plot3d(p*t+q, (t,0,1))



#vectB=vector(B.xdata[1],B.ydata[1],B.zdata[1])
e=0.2
eps=vector([4+e,3+e,2+e])
T_A = text3d('A',eps)
#T_B = text3d('B',B)
F+A+T_A+B+vec

Is there any better, way to do it?

Here is the file: https://share.cocalc.com/share/a3f14e05-7729-406f-97c5-be5b73646381/vector/ebene.sagews?viewer=share

click to hide/show revision 4
retagged

Point -> Vector to a point

Hello everyone,

If i have point in 3D

A=point3d((4,3,2),size=10,color='red',opacity=.5)

How to create a vector from the origin to the point. I know i could define the vector. But I would rather have a point, for plotting reasons

And i would like to plot the Point and the Vector, with automatic labeling of the coordinates.

I have managed to do this like:

from sage.plot.plot3d.shapes2 import frame3d
F=frame3d([0,0,0],vector([10,10,10]),color='red')
A=points((4,3,2),size=10,color='red',opacity=.5)
B=point([(4,3,8)],size=10,color='red',opacity=.5)

t = var('t')
p = vector([4,3,2])
q = vector([0,0,0])
vec=parametric_plot3d(p*t+q, (t,0,1))



#vectB=vector(B.xdata[1],B.ydata[1],B.zdata[1])
e=0.2
eps=vector([4+e,3+e,2+e])
T_A = text3d('A',eps)
#T_B = text3d('B',B)
F+A+T_A+B+vec

Is there any better, way to do it?

Here is the file: https://share.cocalc.com/share/a3f14e05-7729-406f-97c5-be5b73646381/vector/ebene.sagews?viewer=share

click to hide/show revision 5
retagged

Point -> Vector to a point

Hello everyone,

If i have point in 3D

A=point3d((4,3,2),size=10,color='red',opacity=.5)

How to create a vector from the origin to the point. I know i could define the vector. But I would rather have a point, for plotting reasons

And i would like to plot the Point and the Vector, with automatic labeling of the coordinates.

I have managed to do this like:

from sage.plot.plot3d.shapes2 import frame3d
F=frame3d([0,0,0],vector([10,10,10]),color='red')
A=points((4,3,2),size=10,color='red',opacity=.5)
B=point([(4,3,8)],size=10,color='red',opacity=.5)

t = var('t')
p = vector([4,3,2])
q = vector([0,0,0])
vec=parametric_plot3d(p*t+q, (t,0,1))



#vectB=vector(B.xdata[1],B.ydata[1],B.zdata[1])
e=0.2
eps=vector([4+e,3+e,2+e])
T_A = text3d('A',eps)
#T_B = text3d('B',B)
F+A+T_A+B+vec

Is there any better, way to do it?

Here is the file: https://share.cocalc.com/share/a3f14e05-7729-406f-97c5-be5b73646381/vector/ebene.sagews?viewer=share