Math Problem Statement
Plot the complex number -i - 3.
Solution
The complex number given is , which can be rewritten as . To plot this on the complex plane:
- The real part of the complex number is , which corresponds to the horizontal axis (Real axis).
- The imaginary part is , which corresponds to the vertical axis (Imaginary axis).
To plot :
- Start at the origin .
- Move 3 units to the left (because the real part is ).
- Move 1 unit down (because the imaginary part is ).
So, the point to plot is at on the complex plane.
Would you like any further details or explanations? Here are some related questions for further exploration:
- What is the geometric interpretation of the magnitude of a complex number?
- How do you determine the angle (argument) of a complex number on the complex plane?
- How would you plot the complex conjugate of ?
- What does it mean to add two complex numbers graphically?
- How can you multiply two complex numbers geometrically?
Tip: The horizontal axis represents the real part, and the vertical axis represents the imaginary part when plotting complex numbers.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Complex Numbers
Coordinate Plane
Formulas
Complex number representation: a + bi
Theorems
Plotting complex numbers on the complex plane
Suitable Grade Level
Grades 9-12