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Lösung 3.2:1d

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Version vom 10:35, 11. Mär. 2009

If we calculate the expression, we get the answer at once,

zw+u=(2+i)(23i)+(12i)=221+(1+32)i=1+2i.

If, on the other hand, we interpret the expression in terms of vectors, we must first understand the vector w geometrically. When we take the complex conjugate of w, we change the sign of the imaginary part, which is the same as reflecting w in the real axis.

We can then construct the expression zw+u one term at a time.