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Question
The name of the figure formed by the points (−1,−3,4),(5,−1,1),(7,−4,7) and (1,−6,10) is a
The name of the figure formed by the points (−1,−3,4),(5,−1,1),(7,−4,7) and (1,−6,10) is a
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Solution
The correct option is B rhombus
The four vectors, describing sides are (6,2,−3),(2,−3,6),(−6,−2,3)and(−2,3,−6).
We thus observe that the four sides are just formed by the interchange of digits and so their magnitude has to be constant.
We take the dot product of any 1 pair to verify that it is not 0.
Thus we have the polynomial as a rhombus.
The four vectors, describing sides are (6,2,−3),(2,−3,6),(−6,−2,3)and(−2,3,−6).
We thus observe that the four sides are just formed by the interchange of digits and so their magnitude has to be constant.
We take the dot product of any 1 pair to verify that it is not 0.
Thus we have the polynomial as a rhombus.
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