Questions

What is a diagram that represents numbers as points on a plane?

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.

  1. Determine the real part and the imaginary part of the complex number.
  2. Move along the horizontal axis to show the real part of the number.
  3. Move parallel to the vertical axis to show the imaginary part of the number.
  4. Plot the point.
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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.

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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.