What is a diagram that represents numbers as points on a plane?
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What is a diagram that represents numbers as points on a plane?
An Argand diagram is a plot of complex numbers as points. in the complex plane using the x-axis as the real axis and y-axis as the imaginary axis.
What is the point of intersection of X and y-axis called?
The horizontal axis is called the x-axis, and the vertical axis is called the y-axis. The two intersecting axes form four quadrants, numbered I through IV. The point of intersection (0, 0) is called the origin.
How do you plot points with imaginary numbers?
How To: Given a complex number, represent its components on the complex plane.
- Determine the real part and the imaginary part of the complex number.
- Move along the horizontal axis to show the real part of the number.
- Move parallel to the vertical axis to show the imaginary part of the number.
- Plot the point.
Do four points define a plane?
Four points (like the corners of a tetrahedron or a triangular pyramid) will not all be on any plane, though triples of them will form four different planes. Stepping down, two points form a line, and there wil be a fan of planes with this line (like pages of an open book, with the line down the spine of the book).
How are points determined on a plane?
Set any two of your variables x,y,z to zero and solve for the other. For example, if x=0 and y=0 then the equation gives z=−D/C. So if C≠0 then a point on your plane is (0,0,−D/C).
Can you add imaginary numbers?
To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 5 + 3i and 4 + 2i is 9 + 5i. For another, the sum of 3 + i and –1 + 2i is 2 + 3i.
What is 1 as an imaginary number?
The square root of minus one √(−1) is the “unit” Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.
Is 0i an imaginary number?
The imaginary number is defined as a + bi = 0, where a=0 and b=real. zero is real, so zero is defined as imaginary if thats how we define 0i.
Why do you need 3 Noncollinear points to determine a plane?
If three points are collinear, they lie on the same line. An infinite number of planes (in three dimensional space) can pass through that line. By making the points non-collinear as a threesome, they actually define three lines taken as pairs and define one plane.