How to find the fourth point of a parallelogram in 3d?
Answers
Answered by
9
Find the coordinate of the fourth vertex. Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4), and C(-1,1,2). Find the coordinate of the fourth vertex. To get the answer I tried the distance formula, equated AB=CD and AC=BD.
Answered by
10
hey
Use the same method no matter how many coordinates. Treat pp, qq, and rr as vectors themselves. (They’re the heads of vectors whose tails are at the origin.) Then
s=−p+q+r=−(1,4,1)+(3,1,2)+(3,8,7)=(5,5,8)s=−p+q+r=−(1,4,1)+(3,1,2)+(3,8,7)=(5,5,8).
Use the same method no matter how many coordinates. Treat pp, qq, and rr as vectors themselves. (They’re the heads of vectors whose tails are at the origin.) Then
s=−p+q+r=−(1,4,1)+(3,1,2)+(3,8,7)=(5,5,8)s=−p+q+r=−(1,4,1)+(3,1,2)+(3,8,7)=(5,5,8).
Similar questions