If z1 = 2 + 5i, z2 = -3-4i, and z3 = 1+i, find the additive inverse of z1, z2 and z3
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z
2
1
−
z
1
1
=
z
3
1
−
z
2
1
⇒
z
2
z
1
z
1
−z
2
=
z
2
z
3
z
2
−z
3
⇒
z
2
−z
3
z
1
−z
2
=
z
3
z
1
z
3
−z
2
z
1
−z
2
=−(
z
3
z
1
)
arg (
z
3
−z
2
z
1
−z
2
)=π−arg(
z
3
z
1
)
z
3
z
2
z
1
=π−z
1
Oz
3
∴O,z
1
,z
2
,z
3
are concyclic.
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