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1 pointIf A=(-1-7,0) and B(-8,8-10), find ||AB||. Round to 3 decimal places.Type your answer.
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31 votes
1 pointIf A=(-1-7,0) and B(-8,8-10), find ||AB||. Round to 3 decimal places.Type your answer.

User MangduYogii
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1 Answer

17 votes
17 votes

Basically we need to find the distance between A and B, so:


\begin{gathered} \mleft\Vert AB\mright||=d=\sqrt[]{(x2-x1)^2+(y2-y1)^2+(z2-z1)^2} \\ where \\ A=(x1,y1,z1)=(-1,-7,0) \\ B=(x2,y2,z2)=(-8,8,-10) \\ \Vert AB||=\sqrt[]{(-8-(-1))^2+(8-(-7))^2+(-10-0)^2} \\ \Vert AB||=\sqrt[]{49+225+100} \\ \Vert AB||=\sqrt[]{374} \\ \Vert AB||\approx19.339 \end{gathered}

User Nace
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