- #1

PainterGuy

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- TL;DR Summary
- If one is moving along only one dimension, such as x-axis, in four-dimensional plane, are the coordinates of other axes, y, z, w, going to remain constant? "w" is the fourth axis.

Hi,

When you have a one-dimensional plane, such as x-axis plane, when you move, you coordinates will change along all given axes. Actually, there is only one dimension available in this case so it doesn't make much sense here.

When you have two-dimensional plane, such as x-y plane, when you move, you can keep coordinate of at most one dimension constant. For example, if you decide to move along x-axis, your coordinate for y-axis won't change.

When you have a three-dimensional plane, such as x-y-z plane, when you move, you have the freedom of keeping the coordinates of at most two dimensions same. For example, if you move only along x-axis, your coordinates for y- and z-axis won't change.

Now suppose you have a four-dimensional plane, the coordinates of how many dimensions could be kept constant, at most, while moving along one dimension such as x-axis? Three dimensions? Could you please help me with this?

Thanks for your help, in advance!

When you have a one-dimensional plane, such as x-axis plane, when you move, you coordinates will change along all given axes. Actually, there is only one dimension available in this case so it doesn't make much sense here.

When you have two-dimensional plane, such as x-y plane, when you move, you can keep coordinate of at most one dimension constant. For example, if you decide to move along x-axis, your coordinate for y-axis won't change.

When you have a three-dimensional plane, such as x-y-z plane, when you move, you have the freedom of keeping the coordinates of at most two dimensions same. For example, if you move only along x-axis, your coordinates for y- and z-axis won't change.

Now suppose you have a four-dimensional plane, the coordinates of how many dimensions could be kept constant, at most, while moving along one dimension such as x-axis? Three dimensions? Could you please help me with this?

Thanks for your help, in advance!