Question

Z 1 = 5 - 4i , Z2 = 3 - 2i then 171 -Z2/=​

Answer 1

Answer:

2√2

Step-by-step explanation:

z₁ - z₂

⇒ (5 - 4i) - (3 - 2i)

⇒ 5 - 4i - 3 + 2i

⇒ 5 - 3  - 4i + 2i

⇒ 2 - 2i

  ∴ | z₁ - z₂ | = | 2 - 2i |

                   = √2² + (-2)²

                   = √4 + 4

                   = √8  = 2√2

Answer 2

$\large{ \underline{ \underline{ \sf{ \color{lime}{REQUIRED- ANSWER:-}{} }{} }{} }{} }{}$

$\large{ \underline{ \underline{ \sf{ \color{cyan}{GIVEN:-}{} }{} }{} }{} }{}$

From the Question, We know that,

Z 1 = 5 - 4i and Z 2 = 3 - 2i

$\large{ \underline{ \underline{ \sf{ \color{cyan}{TO - FIND:-}{} }{} }{} }{} }{}$

• Z1 - Z/2

$\large{ \underline{ \underline{ \sf{ \color{cyan}{SOLUTION:-}{} }{} }{} }{} }{}$

Let us find the Answer,

Z 1 - Z 2

✓ ( 5 - 4i ) - ( 3 - 2i )

✓ 5 - 4i - 3 + 2i

✓= 2 - 2i

:: Z 1 - Z 2 = 2 - 2i

= ( √2 ) ² + ( - 2 ) ²

___= √8 = 2√2

$\large{ \underline{ \underline{ \sf{ \color{cyan}{ANSWER = 2 \sqrt{2} }{} }{} }{} }{} }{}$