Consider the complex number z0926j where j1 a What is z Ple

Consider the complex number

z=0.9+2.6j

where j=1.

a) What is |z| ?

Please give your answer correct to AT LEAST THREE DECIMAL PLACES. (2 marks)

b) What is the argument of z?

Please give your answer correct to AT LEAST THREE DECIMAL PLACES. (3 marks)

Solution

a) |z| = (0.9² + 2.6²)

= (0.81+6.76)

= (7.57)

= 2.75

b) argument of z ==> tan^-1(2.6/0.9)

==> tan-1(2.88)

==> 70.85 degrees