If z1 = (2 – i) and z2 = (1 + i), find .
Given: z1 = (2 – i) and z2 = (1 + i)
To find:
Consider,
Putting the value of z1 and z2, we get
Now, rationalizing by multiply and divide by the conjugate of 1 – i
[(a – b)(a + b) = a2 – b2]
[Putting i2 = -1]
= |2(1 + i)|
= |2 + 2i|
Now, we have to find the modulus of (2 + 2i)
So,