Given that z, -[3,0.7], 2₁ = [2,1.2] and 2, = [4,-0.5],(c) (i) find a complex number z = [r,0] such thatzxz,-[1,0].(ii) find a complex number z = [r, 0] such thatzxz,- [1,0].=(d) for any complex number [r, e] show that|-|-|(20)+(20)x[r, 0]= [1,0] (r> 0).r

Given that z1=[3,0.7],z2=[2,01.2] and z3=[4,-0.5] To find : (c) (i)Find a complex number z=[r,θ]…

Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0] such that 2x2,= [1,0]. (ii) find a complex number z = [re] such that zxz,= [1,0]. (d) for any complex number [r, 0] show that ax[r.]-[10] (r>0).

Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0] such that 2x2,= [1,0]. (ii) find a complex number z = [re] such that zxz,= [1,0]. (d) for any complex number [r, 0] show that ax[r.]-[10] (r>0).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.4: Complex And Rational Zeros Of Polynomials

Problem 36E

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Question

Given that z, -[3,0.7], 2₁ = [2,1.2] and 2, = [4,-0.5],
(c) (i) find a complex number z = [r,0] such that
zxz,-[1,0].
(ii) find a complex number z = [r, 0] such that
zxz,- [1,0].
=
(d) for any complex number [r, e] show that
|-|-|(20)+(20)
x[r, 0]= [1,0] (r> 0).
r

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