Norm of Complex Vector

The norm of a complex vector is given by $$ \|(w,z)\| = \sqrt{|w|^2 + |z|^2} $$ note that we're using $|w|^2$, not $w^2$. So, the calculation becomes $$ \|(1+7i,2 - 6i)\| = \sqrt{|1+7i|^2 + |2 - 6i|^2} = \sqrt{(1^2 + 7^2) + (2^2 + 6^2)} = 3\sqrt{10} $$

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Complex Numbers

Vectors

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