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iajiborode8944
31.12.2019 •
Mathematics
Pqrs is a parallelogram. given that three of the vertices are p(6,-2,4), q(2,4,-8), and r(-2,2,4), determine the coordinates of vertex s.
the vertex and vertices are the same thing but i do not know how to find the fourth point using the distance formula. can someone me?
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Ответ:
S = (2, -4, 16)
Step-by-step explanation:
You don't need the distance formula to find the fourth vertex. The midpoint of the diagonals is the same for both diagonals, so ...
(P+R)/2 = (Q+S)/2 . . . . midpoints are the same
P + R = Q + S . . . . . . . .multiply by 2
P + R - Q = S . . . . . . . .subtract Q to get an equation for S
S = (6, -2, 4) +(-2, 2, 4) -(2, 4, -8)
= (6 -2 -2, -2 +2 -4, 4 +4 +8)
S = (2, -4, 16)
Ответ:
option c
Step-by-step explanation: