Find the distance between the points $P ( 5,0,10 )$ and $Q ( 12 , - 3,5 )$
A)83
B) $\sqrt { 83 }$
C) $2 \sqrt { 2 }$
D) $81$
E) 9

Name: Find the distance between the points $P ( 5,0,10 )$ and $Q ( 12 , - 3,5 )$ A)83 B) $\sqrt { 83 }$ C) $2 \sqrt { 2 }$ D) $81$ E) 9
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Question

Quizplus · Accepted Answer

We use the distance formula $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$. Substituting the given values, we get $\sqrt{(12-5)^2+(-3-0)^2+(5-10)^2}=\sqrt{7^2+(-3)^2+(-5)^2}=\sqrt{49+9+25}=\sqrt{83}$. Thus, the answer is B.

Find the Distance Between the Points P(5,0,10)P ( 5,0,10 )P(5,0,10) And Q(12,−3,5)Q ( 12 , - 3,5 )Q(12,−3,5)

Find the Distance Between the Points $P ( 5,0,10 )$ And $Q ( 12 , - 3,5 )$