CALCULATOR
Complex Product Component Calculator
Complex Product Component. Component: 0=real, 1=imaginary: Real component, Imaginary component only. Example: A: 3 number, B: 2 number, C: 1 number, D: 4 number, Component: 0=real, 1=imaginary: 0 number gives -5 number. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Distribute product and use i²=-1.
Accepted inputs: A: -100 to 100 number; B: -100 to 100 number; C: -100 to 100 number; D: -100 to 100 number; Component: 0=real, 1=imaginary: choose Real component (0), Imaginary component (1).
How the calculation works
(a+bi)(c+di)=(ac-bd)+(ad+bc)i
Worked example
With a 3 number, b 2 number, c 1 number, d 4 number, component: 0=real, 1=imaginary Real component, complex product component is -5 number.
Assumptions and limits
Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Distribute product and use i²=-1.