Argand Diagrams Flashcards
1
Q
What are the rules for multiplying and dividing the modulus of complex numbers
A
|Z| * |W| = |Z * W|
|Z / W| = |Z| / |W|
2
Q
what is modulus argument form
A
Z = r(cos(θ) * i sin(θ))
where r is the modulus of the vector
and θ is the argument of the vector
3
Q
What is the argument of a vector
A
The angle between the vector and the positive X-axis
(RADIANS)
4
Q
how would you find the modulus of a vector
A
Pythagoras
remember that i is not included
5
Q
what is arg(X) + arg(W) equivalent to
A
arg(X * W)
6
Q
What is a Cartesian equation
A
The equation of a circle
7
Q
what is the minimum and maximum value of a circle
A
the closest and most distant point on a circle relative to the origin
