What is the distance between (6, 8, 2) (6,8,2) and (8, 6, 2) (8,6,2)?

1 Answer
Veddesh phiϕ
Apr 13, 2016

2sqrt22√2

Explanation:

color(blue)((6,8,2) and (8,6,2)(6,8,2)and(8,6,2)

Use the "3-dimensional"3-dimensional Distance formula

color(brown)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)d=√(x2−x1)2+(y2−y1)2+(z2−z1)2

Where

color(indigo)(d="distance"d=distance

So,

color(indigo)(underbrace("(6,8,2) and (8,6,2)")_((x_1,y_1,z_1) and (x_2,y_2,z_2))

color(violet)(x_1=6,x_2=8

color(violet)(y_1=8,y_2=6

color(violet)(z_1=2,z_2=2

rarrd=sqrt((8-6)^2+(8-6)^2+(2-2)^2)

rarrd=sqrt((2)^2+(2)^2+(0)^2)

rarrd=sqrt(4+4+0)

color(green)(rArrd=sqrt(8)=sqrt(4*2)=2sqrt2

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