In coordinate geometry does x=o mean the y axis or the yz plane ?

In summary, x=o in coordinate geometry means that the x-coordinate of a point is equal to zero, indicating that the point lies on the y-axis. It is represented by the point where the y-axis intersects with the x-axis, with coordinates (0,0). X=o does not refer to the yz plane, which is a two-dimensional plane, but rather to the one-dimensional y-axis on the coordinate plane. Therefore, a point cannot have an x-coordinate of zero and still be on the yz plane. Furthermore, x=o is not the same as y=0, as they represent different points on the coordinate plane.
  • #1
coverband
171
1
In coordinate geometry does x=o mean the y-axis or the yz plane!?

? ?
 
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  • #2


:biggrin: Yes! :biggrin:

(In n dimensions, x = 0 means the (n-1)-dimensional hyperplane whose normal is x = 0)
 
  • #3


Brilliant!
 
1)

What does x=o mean in coordinate geometry?

In coordinate geometry, x=o means that the x-coordinate of a point is equal to zero. This can also be thought of as the point lying on the y-axis.

2)

Does x=o refer to the y-axis or the yz plane?

X=o refers to the y-axis. The yz plane is a two-dimensional plane, while the y-axis is a one-dimensional line on the coordinate plane.

3)

How is x=o represented on a graph?

X=o is represented as the point where the y-axis intersects with the x-axis. This point has coordinates (0,0) on the coordinate plane.

4)

Can a point have an x-coordinate of zero and still be on the yz plane?

No, the yz plane is defined by the x-coordinate being equal to zero. If a point has an x-coordinate of zero, it must lie on the y-axis and therefore cannot be on the yz plane.

5)

Is x=o the same as y=0?

No, x=o and y=0 are two different equations. X=o represents a point on the y-axis, while y=0 represents a point on the x-axis.

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