8 Vertices of 3D Shape

[liawalters]

Can someone please help me in finding the 8 vertices of a 3D shape that is shown ............in the form (X1, Y1, Z1) .......(X2, Y2, Z2)........etc.....(I am just using the image for visual)...................it is so confusing..............thanks in advance

 

[Deleted member 4993]

Can someone please help me in finding the 8 vertices of a 3D shape that is shown ............in the form (X1, Y1, Z1) .......(X2, Y2, Z2)........etc.....(I am just using the image for visual)...................it is so confusing..............thanks in advance

Can you tell us - what's the co-ordinate of point D?

 

[pka]

Can someone please help me in finding the 8 vertices of a 3D shape that is shown ............in the form (X1, Y1, Z1) .......(X2, Y2, Z2)........etc.....(I am just using the image for visual)...................it is so confusing...

A note. The diagram is labeled a it would be in most western countries. As post it is left-handed system.
But as posted A: (0,2,2) and C: ( 3,2,0)

 

[serds]

It can be divided into seperate dimensions:

 

[liawalters]

Can you tell us - what's the co-ordinate of point D?

..................well I think "D" would be (3,0,0).........it move along the x axis 3 units.............but not on the y-axis or the z-axis..........????????...........not sure........but also how would that translate into general coordinates without numbers.............like (x,y,z)........

 

[liawalters]

A note. The diagram is labeled a it would be in most western countries. As post it is left-handed system.
But as posted A: (0,2,2) and C: ( 3,2,0)

...............Thanks.............okay so .....C coordinates I get.............for A.....I get the x and y coordinate but the z coordinate is a little confusing........

 

[liawalters]

It can be divided into seperate dimensions:

View attachment 2990View attachment 2991View attachment 2992

Ohhhhhhhh........okay........I will try to do this for all 8 vertices.....thanks

 

[liawalters]

Can you tell us - what's the co-ordinate of point D?

Are these coordinates correct????.......A 0 , 2 , 2 ); B 3 , 2 , 2 ); C: ( 3 , 2 , 0 ) and D 3 , 0 , 0 ).......Question: When we use general (x, y, z) coordinates......is it safe to say we only go up to x3, y3 and z3??................all the "0" from the coordinates above can be replaced with x1, y1 or z1...........so D would be (x3, y1, z1)........I don't know........I think I am confusing myself

 

[DrPhil]

Are these coordinates correct????.......A 0 , 2 , 2 ); B 3 , 2 , 2 ); C: ( 3 , 2 , 0 ) and D 3 , 0 , 0 ).......Question: When we use general (x, y, z) coordinates......is it safe to say we only go up to x3, y3 and z3??................all the "0" from the coordinates above can be replaced with x1, y1 or z1...........so D would be (x3, y1, z1)........I don't know........I think I am confusing myself

Your number values of the coordinates are correct, and that is as far as you have to go.
EDIT - but since the question asked for all 8 vertices, you should show the other 4 also.

If you know the figure is a rectangular block, you could specify all of the vertices in terms of A and D, or in terms or the Origin and B. Those pairs work because they are diagonally opposite. But the question does not seem to be worded that way.

 

[liawalters]

Your number values of the coordinates are correct, and that is as far as you have to go.
EDIT - but since the question asked for all 8 vertices, you should show the other 4 also.

If you know the figure is a rectangular block, you could specify all of the vertices in terms of A and D, or in terms or the Origin and B. Those pairs work because they are diagonally opposite. But the question does not seem to be worded that way.

Thanks...........but I still don't get it .........about representing in general coordinates without the numbers.......represent like A = (x1,y1,z1)........then some other coordinate = (x2, y2,z2) or something like that........

 

[JeffM]

Thanks...........but I still don't get it .........about representing in general coordinates without the numbers.......represent like A = (x1,y1,z1)........then some other coordinate = (x2, y2,z2) or something like that........

Think about \(\displaystyle x_1\) as the first value given for x. \(\displaystyle x_1\) is the name of a real number, maybe 3 or - 6.

There are 8 vertices. You could name them A = (a, c, e), B = (a, c, f), C = (a, d, e), D = (a, d, f), E = (b, c, e), F = (b, c, f), G = (b, d, e), and
H = (b, d, f).

It gets confusing. Which numbers represent numbers on the x axis, which numbers represent numbers on the y axis, and which numbers represent numbers on the z axis?

Once you get used to it, it is less confusing to label them A = (x₁, y₁, z₁), B = (x₁, y₁, z₂), C = (x₁, y₂, z₁), D = (x₁, y₂, z₂), E = (x₂, y₁, z₁) ,
F = (x₂, y₁, z₂), G = (x2, y₂, z₁), and H = (x₂, y₂, z₂). At least I know now which numbers relate to which axis.