The Argand Diagram (Leaving Cert Mathematics): Flashcards

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The Argand Diagram
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What is an Argand diagram?

A coordinate plane for representing complex numbers visually

Real axis position on Argand diagram

Horizontal axis

Imaginary axis position on Argand diagram

Vertical axis

Coordinates for z=a+biz = a + bi on Argand diagram

(a,b)(a, b)

What does real part aa determine in plotting?

Horizontal position

What does imaginary coefficient bb determine in plotting?

Vertical position

Plot point for 3+2i3 + 2i on Argand diagram

(3,2)(3, 2)

Real number 4 written in complex form

4+0i4 + 0i

Where do real numbers plot on Argand diagram?

On the real axis (horizontal axis)

Pure imaginary −3i-3i written in complex form

0−3i0 - 3i

Where do pure imaginary numbers plot?

On the imaginary axis (vertical axis)

Axis labels for Argand diagram

Re (real axis) and Im (imaginary axis)

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