SOLUTION: Prove |z1/z2|=|z1|/|z2| without using the polar form.
Algebra.Com
Question 1104383: Prove |z1/z2|=|z1|/|z2| without using the polar form.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
notice that
=
=
: : :
After multiplying out and canceling a 2abcd with a -2abcd in the numerator...
: : :
=
=
= =
= /
Done.
RELATED QUESTIONS
prove |z1 + z2+... (answered by richwmiller)
prove |z1 -... (answered by richwmiller)
prove |z1 +... (answered by richwmiller)
z1=1+2i; z2=1-i write z1,z2 and z1Xz2 in polar... (answered by solver91311)
|z1+z2|<=|z1|+|z2| i need the... (answered by math_helper)
Write
z1 and z2 in polar form. (Express θ in radians. Let 0 ≤ θ <... (answered by stanbon)
If z1+z2+z3=0 and z1^2+z2^2+z3^2=0, prove that... (answered by Edwin McCravy)
If z1+z2+z3=0 and z1^2+z2^2+z3^2=0, prove that |z1|=|z2|=|z3|
(answered by Edwin McCravy)
If z1 = 4cis300° and z2 = 2cis30° , find z1z2 in its POLAR FORM:... (answered by ikleyn)