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5) write in form a + bi. given (2 - i)-(7 - 3i) 6) given vector write i…

Question

  1. write in form a + bi. given (2 - i)-(7 - 3i)
  2. given vector write its direction and location

Explanation:

Step1: Simplify the complex - number expression

\[

$$\begin{align*} (2 - i)-(7 - 3i)&=2 - i-7 + 3i\\ &=(2-7)+(-i + 3i) \end{align*}$$

\]

Step2: Combine like - terms

\[

$$\begin{align*} (2-7)+(-i + 3i)&=-5+2i \end{align*}$$

\]

Answer:

\(-5 + 2i\)