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Name the axis on which (0, 0, -6) lies....

Name the axis on which (0, 0, -6) lies.

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To determine the axis on which the point (0, 0, -6) lies, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Coordinates**: The point given is (0, 0, -6). In a three-dimensional coordinate system, the coordinates are represented as (x, y, z). Here, x = 0, y = 0, and z = -6. 2. **Identify the Axes**: In a three-dimensional coordinate system, there are three axes: - The x-axis (horizontal axis) - The y-axis (vertical axis) - The z-axis (depth axis) 3. **Analyze the Coordinates**: - Since both x and y are equal to 0, this means that the point does not extend along the x-axis or y-axis. - The z-coordinate is -6, which indicates that the point is located 6 units below the origin along the z-axis. 4. **Locate the Point**: - The coordinates (0, 0, -6) imply that the point lies directly on the z-axis, specifically at a position of -6 units from the origin. 5. **Conclusion**: Therefore, the point (0, 0, -6) lies on the z-axis. ### Final Answer: The point (0, 0, -6) lies on the z-axis. ---
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AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Name the plane in which (0, 6, 8) lies.

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  2. Name the plane in which (8, -6, 0) lies.

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  3. Name the axis on which (0, 0, -6) lies.

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  4. Name the axis on which (-5, 0, 0) lies.

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  5. Locate the following points: (i) L(2, 3, 6) (ii) M(-3, 6, 8)

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  6. Locate the point A(3, 5, -4).

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  7. Find the foot of perpendicular drawn from a point M(-2, 3, 6) on the c...

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  8. Find the foot of perpendicular drawn from a point P(2, 4, -5) on the c...

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  9. Find the distances of the point (-4, -3, 4) from the coordinate plane...

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  10. Find the distances of the point (-4, 3, 6) from the coordinate planes...

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  11. Find the distance of the point P(3, 4, 6) from y-axis.

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  12. Find the distance of the point (-3, -4, 6) from z-axis.

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  13. Find the image of the point (4, 5, 7) in XY-plane.

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  14. Find the image of the point (-4, 0, -1) in YZ-plane.

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  15. Find the distance between the points (5, 3, -2) and (3, 2, 1).

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  16. Find the distance between origin and (2, 5, 6).

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  17. Show that the points (-1, 0, -4), (0, 1, -6) and (1, 2, -5) from a rig...

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  18. Show that the points (0,7,10), (-1,6,6) and(-4,9,6) are the vertices o...

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  19. Show that the points (-3, 2, 4), (-1, 5, 9) and (1, 8, 14) lie on a li...

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  20. Show that the points (2, -3, 3), (1, 2, 4) and (3, -8, 2) are collinea...

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