Final answer:
The coefficient of 'i' in the product of the two complex numbers 'a+bi' and 'c+di' is (ad + bc).
Step-by-step explanation:
To determine the coefficient of i in the product of two complex numbers z, a+bi and z, c+di, we perform the multiplication:
(a + bi)(c + di) = ac + adi + bci + bidi
Combining like terms, we get:
ac + (ad + bc)i + bdi2
Since i2 = -1, this simplifies to:
ac - bd + (ad + bc)i
Therefore, the coefficient of i in the product is (ad + bc).