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Ashley1nOnly

  • one year ago

give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations.

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  1. Ashley1nOnly
    • one year ago
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    x=2 y=3 y=0 z=0 x^2+y^2=4 z= 0

  2. Ashley1nOnly
    • one year ago
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    What is it exactly asking me to do?

  3. DDCamp
    • one year ago
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    For the first problem, how would you describe (in 3D space) the set of all points (x,y,z) where x=2 and y=3?

  4. Ashley1nOnly
    • one year ago
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    It would be in the xy plane

  5. DDCamp
    • one year ago
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    Would it? If x=2 and y=3 are the only requirements, then couldn't z be anything?

  6. Ashley1nOnly
    • one year ago
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    It would be in the xy plane perpendicular to the z

  7. DDCamp
    • one year ago
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    Here's what the point (2,3,0) would look like, right? |dw:1440633913751:dw|

  8. Ashley1nOnly
    • one year ago
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    Yes

  9. DDCamp
    • one year ago
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    And here's x=2, y=3, z=anything |dw:1440634022753:dw|

  10. Ashley1nOnly
    • one year ago
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    So it would be in the xyz plane?

  11. Ashley1nOnly
    • one year ago
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    The xz plane

  12. DDCamp
    • one year ago
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    All three of the problems are in 3D space (not necessarily in a single "plane"). I think what they're looking for in the first one is: "A line perpendicular to the xy-plane at x=2, y=3"

  13. Ashley1nOnly
    • one year ago
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    The line through (2,3,0) is parallel to the z-axis

  14. triciaal
    • one year ago
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    @DDCamp why wouldn't it just be a line segment origin to point (2,3)

  15. Ashley1nOnly
    • one year ago
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    How did they get that

  16. DDCamp
    • one year ago
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    @Ashley1nOnly It is parallel to the z-axis, but the z-axis is perpendicular to the xy-plane. It's two ways of saying the same thing.

  17. DDCamp
    • one year ago
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    @triciaal The problem says "set of points in space whose coordinates satisfy the given pairs of equations." The points on the line segment you described don't satisfy the conditions that x=2 and y=3.

  18. triciaal
    • one year ago
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    of course it does (2,3,0) (x,y,z)

  19. Ashley1nOnly
    • one year ago
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    The line through (2,3,0) is parallel to the z-axis was the answer. How is it parallel to the z-axis, it looks perpendicular

  20. Ashley1nOnly
    • one year ago
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    So it in the xy plane and its parallel to the z axis

  21. Ashley1nOnly
    • one year ago
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    The next one is it on the x plane?

  22. Ashley1nOnly
    • one year ago
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    the last one a circle in the xy plane

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