An example: A force of 10 in the x direction and a force of 5 in the y direction will
produce what total force and at what angle? Force = x+iy = 10+5i. The total force will be (10^2+5^2)^.5 or (125)^.5 or ~ 11.18. The angle will be atan y/x or atan 5/10 or .464 or 26.56 degrees.
Some of the jobs that use complex conjugates include quantum mechanics, electrical engineers and physicists. Complete understanding of generators and motors require the knowledge of imaginary numbers.
grapes
Isaac Newton
No. Irrational numbers are real numbers, therefore it is not imaginary.
Physics (e.g., quantum mechanics, relativity, other subfields) makes use of imaginary numbers. "Complex analysis" (i.e., calculus that includes imaginary numbers) can also be used to evaluate difficult integrals and to perform other mathematical tricks. Engineering, especially Electrical Engineering makes use of complex and imaginary numbers to simplify analysis of some circuits and waveforms.
Imaginary numbers are not a subset of the real numbers; imaginary means not real.
Yes, imaginary numbers are a subset of complex numbers.
No difference. The set of complex numbers includes the set of imaginary numbers.
No, it is imaginary. Irrational numbers are a subset of real numbers Real numbers and imaginary numbers are sets without any overlap.
Yes, physicists use scientific notation
A subset of imaginary numbers consists of numbers that can be expressed in the form (bi), where (b) is a real number and (i) is the imaginary unit, defined as (i = \sqrt{-1}). This subset includes numbers like (2i), (-3.5i), and (0.1i). Imaginary numbers can be thought of as a special case of complex numbers, which have both a real part and an imaginary part.
imaginary numbers are numbers that are a negative square root, which is not possoble therefor it is called and imaginary number. ex the square root of -24 is an imaginary number