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
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.
No. Irrational numbers are real numbers, therefore it is not imaginary.
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
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
2 does belong to the set of imaginary numbers. Any real number is also imaginary. Imaginary numbers are the set of all numbers that can be expressed as a +b*i where "i" is the square root of negative one and "a" and "b" are both real numbers.