Contoh

(7, 7, 7)

$(7, 7, 7)$ ,

(6, 6, 6)

$(6, 6, 6)$

Langkah 1

To find the distance between two 3d points, square the difference of the x, y, and z points. Then, sum them and take the square root.

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

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

Langkah 2

Ganti

x_{1}

$x_{1}$ ,

x_{2}

$x_{2}$ ,

y_{1}

$y_{1}$ ,

y_{2}

$y_{2}$ ,

z_{1}

$z_{1}$ , dan

z_{2}

$z_{2}$ dengan nilai yang sesuai.

D i s t a n c e = \sqrt{{(6 - 7)}^{2} + {(6 - 7)}^{2} + {(6 - 7)}^{2}}

$D i s t a n c e = \sqrt{{(6 - 7)}^{2} + {(6 - 7)}^{2} + {(6 - 7)}^{2}}$

Langkah 3

Sederhanakan pernyataan

\sqrt{{(6 - 7)}^{2} + {(6 - 7)}^{2} + {(6 - 7)}^{2}}

$\sqrt{{(6 - 7)}^{2} + {(6 - 7)}^{2} + {(6 - 7)}^{2}}$ .

Ketuk untuk lebih banyak langkah...

Langkah 3.1

Kurangi

7

$7$ dengan

6

$6$ .

D i s t a n c e = \sqrt{{(- 1)}^{2} + {(6 - 7)}^{2} + {(6 - 7)}^{2}}

$D i s t a n c e = \sqrt{{(- 1)}^{2} + {(6 - 7)}^{2} + {(6 - 7)}^{2}}$

Langkah 3.2

Naikkan

- 1

$- 1$ menjadi pangkat

2

$2$ .

D i s t a n c e = \sqrt{1 + {(6 - 7)}^{2} + {(6 - 7)}^{2}}

$D i s t a n c e = \sqrt{1 + {(6 - 7)}^{2} + {(6 - 7)}^{2}}$

Langkah 3.3

Kurangi

7

$7$ dengan

6

$6$ .

D i s t a n c e = \sqrt{1 + {(- 1)}^{2} + {(6 - 7)}^{2}}

$D i s t a n c e = \sqrt{1 + {(- 1)}^{2} + {(6 - 7)}^{2}}$

Langkah 3.4

Naikkan

- 1

$- 1$ menjadi pangkat

2

$2$ .

D i s t a n c e = \sqrt{1 + 1 + {(6 - 7)}^{2}}

$D i s t a n c e = \sqrt{1 + 1 + {(6 - 7)}^{2}}$

Langkah 3.5

Kurangi

7

$7$ dengan

6

$6$ .

D i s t a n c e = \sqrt{1 + 1 + {(- 1)}^{2}}

$D i s t a n c e = \sqrt{1 + 1 + {(- 1)}^{2}}$

Langkah 3.6

Naikkan

- 1

$- 1$ menjadi pangkat

2

$2$ .

D i s t a n c e = \sqrt{1 + 1 + 1}

$D i s t a n c e = \sqrt{1 + 1 + 1}$

Langkah 3.7

Tambahkan

1

$1$ dan

1

$1$ .

D i s t a n c e = \sqrt{2 + 1}

$D i s t a n c e = \sqrt{2 + 1}$

Langkah 3.8

Tambahkan

2

$2$ dan

1

$1$ .

D i s t a n c e = \sqrt{3}

$D i s t a n c e = \sqrt{3}$

D i s t a n c e = \sqrt{3}

$D i s t a n c e = \sqrt{3}$

Langkah 4

Jarak antara

(7, 7, 7)

$(7, 7, 7)$ dan

(6, 6, 6)

$(6, 6, 6)$ adalah

\sqrt{3}

$\sqrt{3}$ .

\sqrt{3} \approx 1.7320508

$\sqrt{3} \approx 1.7320508$

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