Question

Complex question again
The modulous and the argument of each of the numbers

Answer 1

* (1-i) is \[\sqrt{2}\] and angle =- pi/4
* (4+3i) is 5 and angle = 0.644
*(1-i)(4+3i) is \[\sqrt{50}\] and angle =-0.142

if these numbers are represtened in ana argand diagram by the points A,B.C calculate the area of the triangle ABC

Answer 2

One way to find the triangle's area is with Heron's formula (See here: ` http://mathworld.wolfram.com/HeronsFormula.html `).

To use it, you'll need to find the distance between each point taken two at a time (i.e. between A/B, B/C, and A/C), find the semiperimeter \(s\), and the area is given by
\[A=\sqrt{s(s-\overline{AB})(s-\overline{BC})(s-\overline{AC})}\]

Answer 3

You can determine the distance between two complex number \(z_1\) and \(z_2\) by computing the modulus of their difference, i.e. \(|z_1-z_2|\).

Answer 4

@amorfide