1. Show that |z − w| ≤ |z − t| + |t − w| for all z, w, t ∈ C.
2.Does every complex number have a multiplicative inverse? Explain
3.Give a geometric interpretation of the expression |z − w|, z, w ∈ C.
4.Give a lower bound for |z + w|. Show your result.
5.Explain how to compute the inverse of a nonzero complex number z geometrically.
6.Explain how to compute the conjugate of a complex number z geometrically.
7.Explain how to subtract complex numbers geometrically.
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