Question

Need help asap please!​

Answer 1

Answer:

The distance of two complex numbers

$z_{1} z_{2} = \sqrt{82}$   = 9.055

 

Step-by-step explanation:

Step(i):-

Given that z₁ = 6-3i and z₂ = -3-4i

We know that 'z' represents a point on the argand plane with absicca 'x' and ordinate 'y'

Now given points are ( x₁ , y₁)  = (6 ,-3) and (x₂, y₂) = (-3 , -4)

Step(ii):-

The distance of two points

               $\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} - y_{1} )^{2} }$

     z₁ z₂  $= \sqrt{(-3-6)^{2} +(-4-(-3)^{2} }$

     $z_{1} z_{2} = \sqrt{81+1}$

    $z_{1} z_{2} = \sqrt{82}$ =9.055