5
Question
distance between the points A(0, 7, 10) and C(–4, 9, 6) in space is
distance between the points A(0, 7, 10) and C(–4, 9, 6) in space is
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Solution
The correct option is C 6
Distance between any two points (x1,y1,z1) and (x2,y2,z2) is given as √(x2−x1)2+(y2−y1)2+(z2−z1)2
So, the distance between the points A(0, 7, 10) and C(–4, 9, 6)
is √(0−(−4))2+(7−9)2+(10−6)2
= 6 units
Distance between any two points (x1,y1,z1) and (x2,y2,z2) is given as √(x2−x1)2+(y2−y1)2+(z2−z1)2
So, the distance between the points A(0, 7, 10) and C(–4, 9, 6)
is √(0−(−4))2+(7−9)2+(10−6)2
= 6 units
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