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Question
The points (2,3,4),(−1,−2,1),(1,2,5) and (4,7,8) are the vertices of a
The points (2,3,4),(−1,−2,1),(1,2,5) and (4,7,8) are the vertices of a
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Solution
The correct option is C a parallelogram
Given, A(2,3,4),B(−1,−2,1),C(1,2,5) and D(4,7,8)
−−→AB=(−3,−5,−3)−−→AD=(2,4,4)−−→AB.−−→AD=−38 that means AB is not perpendicular.
−−→AC=(−1,−1,1)−−→BD=(5,9,7)−−→AC.−−→BD=−7 that means diagonal are not perpendicular.
And, −−→AB=−−→CD=49−−→BC=−−→AD=36−−→AB≠−−→BC
Hence, it is parallelogram.
Given, A(2,3,4),B(−1,−2,1),C(1,2,5) and D(4,7,8)
−−→AB=(−3,−5,−3)−−→AD=(2,4,4)−−→AB.−−→AD=−38 that means AB is not perpendicular.
−−→AC=(−1,−1,1)−−→BD=(5,9,7)−−→AC.−−→BD=−7 that means diagonal are not perpendicular.
And, −−→AB=−−→CD=49−−→BC=−−→AD=36−−→AB≠−−→BC
Hence, it is parallelogram.
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