Answer:
The value of the product of u and v is [tex]2[/tex].
Step-by-step explanation:
Given: The value of [tex]u=1+i[/tex] and [tex]v=1-i[/tex]
To find: The value of [tex]uv[/tex].
Solution: It is given that the value of of [tex]u=1+i[/tex] and [tex]v=1-i[/tex], then the product is given as:
[tex]uv=(1+i)(1-i)[/tex]
[tex]uv=(1)^2-(i)^2[/tex] (Using identity [tex]a^2-b^2=(a+b)(a-b)[/tex])
[tex]uv=1-(-1)[/tex]
[tex]uv=2[/tex]
Thus, the value of the product of u and v is [tex]2[/tex].
