What is the absolute value if 10-7i?
To find the absolute value of a complex number, you need to consider its distance from the origin on the complex plane. The absolute value of a complex number is also known as its modulus.
Given the complex number 10 - 7i, the absolute value (modulus) can be calculated using the formula:
|a + bi| = √(a^2 + b^2)
So, in this case, we have:
|10 - 7i| = √((10)^2 + (-7)^2)
= √(100 + 49)
= √149
Therefore, the absolute value of 10 - 7i is √149.