Problem

Find the distance between the points P(1,2,3) and Q(4,5,6) in 3d space.

Answer

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Answer

Simplify: D=9+9+9=27

Steps

Step 1 ：The formula for the distance between two points P(x1,y1,z1) and Q(x2,y2,z2) in 3D space is D=(x2−x1)2+(y2−y1)2+(z2−z1)2

Step 2 ：Substitute the respective values into the formula: D=(4−1)2+(5−2)2+(6−3)2=32+32+32

Step 3 ：Simplify: D=9+9+9=27

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