Write the vector associated with the conjugate of $$13+8i$$.
For the conjugate we must write the vector $$(a,-b)$$. Therefore as the complex is $$13+8i$$, we will have: $$(13,-8)$$ the vector of the conjugate.
$$(13,-8)$$.
Write the associated vector of the following complex numbers needed to give their representation: $$ \ 3+5i, \ \sqrt{7}-9i, \ \dfrac{4}{7}i, \ \dfrac{\sqrt{4}}{5} $$
We must only write the coefficient of the real part and that of the imginary part. This is to identify $$a$$ and $$b$$ from a complex number given in its binomic form.
$$ 3+5i \ \Rightarrow \ (a,b)=(3,5)$$
$$ \sqrt{7}-9i \ \Rightarrow \ (a,b)=(\sqrt{7},-9)$$
$$ \dfrac{4}{7}i \ \Rightarrow \ (a,b)=(0,\dfrac{4}{7})$$
$$ \dfrac{\sqrt{4}}{5} \ \Rightarrow \ (a,b)=(\dfrac{\sqrt{4}}{5},0)$$
$$(3,5), \ (\sqrt{7},-9), \ (0,\dfrac{4}{7}), \ (\dfrac{\sqrt{4}}{5},0)$$.
Write the vector associated with the opposite of $$13+8i$$.
For the opposite of a complex number we must write the vector $$(-a,-b)$$. In our case it is: $$(-13,-8)$$.
$$(-13,-8)$$.