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X -axis is the intersection of two plane...

X -axis is the intersection of two planes.

A

XY and XZ

B

YZ and ZX

C

XY and YZ

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine which planes intersect to form the x-axis, we need to analyze the coordinate planes in three-dimensional space. ### Step-by-Step Solution: 1. **Understanding the Coordinate Planes**: - The three coordinate planes in three-dimensional space are: - The **XY-plane** (where z = 0) - The **XZ-plane** (where y = 0) - The **YZ-plane** (where x = 0) 2. **Identifying the X-axis**: - The x-axis is defined by the points where y = 0 and z = 0. This means that the x-axis consists of all points of the form (x, 0, 0). 3. **Finding the Intersection of Planes**: - To find which planes intersect to form the x-axis, we need to look for the planes that satisfy the conditions y = 0 and z = 0 simultaneously. - The **XY-plane** (z = 0) intersects with the **XZ-plane** (y = 0) at the x-axis. 4. **Conclusion**: - The x-axis is the intersection of the **XY-plane** and the **XZ-plane**. Therefore, the correct answer is option A: "x y and x z". ### Final Answer: The x-axis is the intersection of the XY-plane and the XZ-plane. ---
To determine which planes intersect to form the x-axis, we need to analyze the coordinate planes in three-dimensional space. ### Step-by-Step Solution: 1. **Understanding the Coordinate Planes**: - The three coordinate planes in three-dimensional space are: - The **XY-plane** (where z = 0) - The **XZ-plane** (where y = 0) ...
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