Expert Answer to "Distance between (-2,1,3) and (-2,0,1)?"

High School
Geometry
High school geometry
Distance Formula

Violet Woodward

Answered question

2022-07-16

Distance between (-2,1,3) and (-2,0,1)?

Answer & Explanation

nezivande0u

Beginner2022-07-17Added 16 answers

By plotting this out in stages and calculating the projected images on the x,y,z planes you end up with a 3 variable equivalent of the Pythagoras theorem
Let the distance between points be d

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

\Rightarrow d = \sqrt{{[- 2 - (- 2)]}^{2} + {[1 - 0]}^{2} + {[3 - 1]}^{2}}

\Rightarrow d = \sqrt{0 + 1 + 4}

\Rightarrow d = \pm \sqrt{5}

But the negative side of

\sqrt{5}

is not logical for this context so we are only interested in

+ \sqrt{5}

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