Log in lichr19 10 years agoPosted 10 years ago. Direct link to lichr19's post “So when graphing on the c...” So when graphing on the complex plane, the imaginary value is in units of i? For example, if you had to graph 7 + 5i, why would you only include the coeffient of the i term? Is it because that the imaginary axis is in terms of i? Thank you :) • (39 votes) Bryce Davidson 9 years agoPosted 9 years ago. Direct link to Bryce Davidson's post “Yes, you would graph it a...” Yes, you would graph it at 7 (as x) and 5 (as y). (11 votes) Echo Zulu 10 years agoPosted 10 years ago. Direct link to Echo Zulu's post “Could there ever be a com...” Could there ever be a complex number written, for example, 4i + 2? And a graph where the x axis is replaced by "Im," and the y axis is "Re"? • (16 votes) Theresa Johnson 10 years agoPosted 10 years ago. Direct link to Theresa Johnson's post “The coordinate grid we us...” The coordinate grid we use is a construct to help us understand and see what's happening. Technically, you can set it up however you like for yourself. The reason we use standard practices and conventions is to avoid confusion when sharing with others. Imagine the confusion if everyone did their graphs differently. (41 votes) Vasu Sharma 10 years agoPosted 10 years ago. Direct link to Vasu Sharma's post “Given that there is point...” Given that there is point graphing, could there be functions with i^3 or so? Or is the extent of complex numbers on a graph just a point? • (9 votes) 01123fibonacci581321 10 years agoPosted 10 years ago. Direct link to 01123fibonacci581321's post “i^3 is i*i*i=i^2 * i = - ...” i^3 is i*i*i=i^2 * i = - 1 * i = -i. So I don't see what you mean by i to the third. And we represent complex number on a plane as ordered pair of real and imaginary part of a complex number. Though there is whole branch of mathematics dedicated to complex numbers and functions of a complex numbers called complex analysis, so there much more to it. (16 votes) Robin 8 years agoPosted 8 years ago. Direct link to Robin's post “Does _i_ always go on the...” Does _i_ always go on the y axis? • (9 votes) Scott Mankowitz 8 years agoPosted 8 years ago. Direct link to Scott Mankowitz's post “It's just an arbitrary de...” It's just an arbitrary decision to put _i_ on the y-axis. But yes, it always goes on the y-axis. (8 votes) otherwise777 11 years agoPosted 11 years ago. Direct link to otherwise777's post “Is there any video over t...” Is there any video over the complex plane that is being used in the other exercises? where complex numbers are written as cos(5/6pi) + sin(5/6pi) ? • (11 votes) Nerd-tastic 🤩 3 years agoPosted 3 years ago. Direct link to Nerd-tastic 🤩's post “I'm not sure if there is ...” I'm not sure if there is a lesson that is related to that. I apologize! (4 votes) 20leunge 7 years agoPosted 7 years ago. Direct link to 20leunge's post “Does a point on the compl...” Does a point on the complex plane have any applicable meaning? Or is it simply a way to visualize a complex number? • (5 votes) andrewp18 7 years agoPosted 7 years ago. Direct link to andrewp18's post “Both!We can use complex ...” Both! (8 votes) Sylvia De Los Santos 10 years agoPosted 10 years ago. Direct link to Sylvia De Los Santos's post “so anything with an i is ...” so anything with an i is imaginary • (7 votes) Abigail R. 7 years agoPosted 7 years ago. Direct link to Abigail R.'s post “However, 'i' is always im...” However, 'i' is always imaginary if it is not i^2 (4 votes) Simmon 10 years agoPosted 10 years ago. Direct link to Simmon's post “How does the complex plan...” How does the complex plane make sense? I don't understand how imaginary numbers can even be represented in a two-dimensional space, as they aren't in a number line. I've heard that it is just a representation of the magnitude of a complex number, but the "complex plane" makes even less sense than a complex number. • (5 votes) Marcus Hughes 9 years agoPosted 9 years ago. Direct link to Marcus Hughes's post “So when you were in eleme...” So when you were in elementary school I'm sure you plotted numbers on number lines right? Well complex numbers are just like that but there are two components: a real part and an imaginary part. So if you put two number lines at right angles and plot the components on each you get the complex plane! :D (5 votes) August Angulo 3 years agoPosted 3 years ago. Direct link to August Angulo's post “Can complex numbers only ...” Can complex numbers only be plotted on the complex plane with the use of cartesian and polar coordinates only? • (5 votes) kubleeka 3 years agoPosted 3 years ago. Direct link to kubleeka's post “You can make up any coord...” You can make up any coordinate system you like, e.g. you could say the point (a, b) is where you arrive by starting at the origin, then traveling a distance a along a line of slope 2, and a distance b along a line of slope -1/2. This is the Cartesian system, rotated counterclockwise by arctan(2). But the Cartesian and polar systems are the most useful, and therefore the most common systems. (6 votes) Austin Chester 8 years agoPosted 8 years ago. Direct link to Austin Chester's post “I'd really like to know w...” I'd really like to know where this plane idea came from, because I never knew about this. • (3 votes) andrewp18 8 years agoPosted 8 years ago. Direct link to andrewp18's post “A guy named Argand made t...” A guy named Argand made the idea for the complex plane, but he was an amateur mathematician and he earned a living maintaining a bookstore in Paris. (7 votes)Want to join the conversation?
We can use complex numbers to solve geometry problems by putting them on the complex plane. This is a common approach in Olympiad-level geometry problems.
