Get the solution to "Distance between (1,-3,-5) and (-2,-3,4)?"

Aleah Avery

Answered question

2022-11-02

Distance between (1,-3,-5) and (-2,-3,4)?

Lillianna Salazar

Beginner2022-11-03Added 22 answers

The formula for the distance for 3-dimensional coordinates is similar or 2-dimensional; it is:

d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} + {(z_{2} - z_{1})}^{2}}

We have the two coordinates, so we can plug in the values for x, y, and z:

d = \sqrt{{(- 2 - 1)}^{2} + {(- 3 - (- 3))}^{2} + {(4 - (- 5))}^{2}}

(I wasn't sure if the 3− meant 3 or −3, so I assumed it was −3)
Now we simplify:

d = \sqrt{{(- 3)}^{2} + {(0)}^{2} + {(9)}^{2}}

d = \sqrt{90}

d = 3 \sqrt{10}

d \approx 9.49

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