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Question: If \(A ( 1,2,3 ) , B ( - 1 , - 1 , - 1 )\) be the points, then the distance AB is...

If A(1,2,3),B(−1,−1,−1)A ( 1,2,3 ) , B ( - 1 , - 1 , - 1 ) be the points, then the distance AB is

A

5\sqrt { 5 }

B

21\sqrt { 21 }

C

29\sqrt { 29 }

D

None of these

Answer

29\sqrt { 29 }

Explanation

Solution

AB=(−1−1)2+(−1−2)2+(−1−3)2A B = \sqrt { ( - 1 - 1 ) ^ { 2 } + ( - 1 - 2 ) ^ { 2 } + ( - 1 - 3 ) ^ { 2 } }

AB=4+9+16=29A B = \sqrt { 4 + 9 + 16 } = \sqrt { 29 } .