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anonymous

  • one year ago

What is the distance from the point (4,4,10) to the z axis?

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  1. beginnersmind
    • one year ago
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    Can you guess which point on the z-axis is closest to (4,4,10) ?

  2. anonymous
    • one year ago
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    0,0,10

  3. beginnersmind
    • one year ago
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    Right. Do you remember the distance formula between two points given by their coordinates?

  4. anonymous
    • one year ago
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    (x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2 all under a square root?

  5. beginnersmind
    • one year ago
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    Yes, from the Pythagorean theorem in 3 dimensions.

  6. anonymous
    • one year ago
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    Okay so I do 4,4,10 and 0,0,10 in distance formula?

  7. beginnersmind
    • one year ago
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    Yes. That's how you define the distance between a point and a line. Find the point on the line that's closest to the point and then find their distance.

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