Precalculus

The distance between 2 points (z1,Y1) and (x2,y2) is given by d = square root (x1-x2)+ (y1-y2)^2)

a - pick 2 arbitrary points in 3 dimensions, (x1, y1, and Z1) and (x2,y2,z2) and plot these points. Not that there are 0- degrees between the xy, xz, and yz axes.

b- using your sketch from part a, find the distance between these 2 points, generalize the above equation to 3 dimensions.

  1. 👍 0
  2. 👎 0
  3. 👁 132
asked by Greg
  1. first, the axes are perpendicular, the there are 90°, not 0° between axes.

    Second, can't do plots here.
    Third, once you have picked your points, just plug them into the 3D version of the formula:

    d^2 = (x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2

    To see that this is true, consider just the distances in the plane z=z1.

    w^2 = (x2-x1)^2+(y2-y1)^2
    That's just a diagonal line of length w. To get from (x1,y1,z1) to (x2,y2,z2), consider the right triangle from (x1,y1,z1) to (x2,y2,z1) with length w, and go from there to (x2,y2,z2) of length (z2-z1).

    If that's confusing, just look online for references to 3D distances.

    http://tonto.stanford.edu/~brian/euclidean_distance_in.html

    is a good place to start

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are

    asked by Miley on September 14, 2013
  2. College Algebra

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth

    asked by Krissy on January 21, 2013
  3. College Algebra

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth

    asked by Krissy on January 19, 2013
  4. College Algebra help please

    I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth

    asked by Krissy on January 20, 2013
  5. Math

    Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times two-thirds(square root of 15)= 3 one-third

    asked by Anonymous on March 25, 2008
  6. 7th grade math Ms. Sue please

    2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? (1 point) 1 foot 2 feet 3 feet 4 feet 3. Which of these numbers can

    asked by Delilah on October 24, 2012
  7. Precalculus

    he distance between 2 points (x1,Y1) and (x2,y2) is given by d = square root (x1-x2)^2 + (y1-y2)^2 a - pick 2 arbitrary points in 3 dimensions, (x1, y1, and Z1) and (x2,y2,z2) and plot these points. Not that there are 90 degrees

    asked by Greg on September 14, 2012
  8. Algebra

    Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I

    asked by Becca on January 18, 2013
  9. Math

    What are the solution sets of the following 3 problems,the square root of x squared + 3x = x-3, the square root of 3x + 10 = x + 4 and finally the square root of 8x - 2 = the square root of 2x? Help much appriciated. I will one as

    asked by Joseph B. on January 13, 2007
  10. Math simplifying mixed radicals

    Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root: 2 square root 48 3 square root 81 6 square root

    asked by Miley on September 14, 2013
  11. Math Help!

    Four students worked to find an estimate for square root 22. Who is closest to finding the true estimate? A. Tiffany: "Use square root 16 and square root 25 to estimate." B. Todd: "I use square root 9 and square root 16." C.

    asked by Laura Ashley on November 3, 2014

More Similar Questions