The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.
<h3>What is the multiplication of a complex number and its conjugate</h3>
Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:
(a + i b) · (a - i b)
Then, we proceed to obtain the result by some algebraic handling:
a · (a + i b) + (- i b) · (a + i b)
a² + i a · b - i a · b - i² b²
a² - i² b²
a² + b²
If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:
To learn more on complex numbers: brainly.com/question/10251853
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Answer:
Teresa should build 7.5 inches model.
Step-by-step explanation:
Consider the provided information.
Teresa is building a scale model of the JP Morgan chase Tower in Houston.
Her scale model, 1.5 inches represents 61 meters.
The actual building is 305 meters tall,
First find how many 61's are there in 305.
For this divide 305 by 61.
Actual building is 5 times taller than 61. Thus the model should be 5 times taller than 1.5.
multiply 1.5 with 5 gives us:
Hence, Teresa should build 7.5 inches model.
Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.
So 0.03 is your answer
<span>Hope I Helped!!!</span>