marcusrobertson3042 marcusrobertson3042
  • 22-05-2021
  • Mathematics
contestada

Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||

Respuesta :

joaobezerra joaobezerra
  • 27-05-2021

Answer:

[tex]||AB|| = 11.8743[/tex]

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Distance from A(-8,-3,-2) and B(-4,8,0)

[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]

[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]

[tex]||AB|| = 11.8743[/tex]

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