Given the complex number A 3 li and B 1li Calculate AB usi

Given the complex number A =3+- li and B = - 1+li Calculate A/B using the complex conjugate method. The complex conjugate of B is - 1 li (choose the proper sign + - */) The equation to calculate A/B is A (3+ - 1 i)/B(-1+1i)-(answer) (Your answer should be in the form of The answer (rounded to 3 decimal places) is

Solution

A/B = (3 -1i)/(-1 +i)

multiplying num and den. with conjugate of -1+i = -1-i

So, = (3-i)(-1-i)/( 1+1)

= (-3-3i+i -1)/2

= (-4 -2i)/2

= -2 -i