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9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b2+azb¡) (2) -1 tan || a to show that in polar coordinates -). S1 S1$2 = (r¡r2,01+02), S2 O1 – 02 r2

9.5. If s1 = a+ib¡ and s2 = a2+ib2, and s1s2 = use the fact that r= Va² +b² and (a¡a2 – bjb2) +i(a¡b2+azb¡) (2) -1 tan || a to show that in polar coordinates -). S1 S1$2 = (r¡r2,01+02), S2 O1 – 02 r2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9.5. If s1 = a1 +ib¡ and s2 = a2 + ib2, and s182 = (aja2 – bịb2) +i(a¡b2+a2b1) use the fact that r = Va? +b² and = tan to show that in polar coordinates S1 $182 = (rir2, 01 +02), S2 O1 – 02 r2
Transcribed Image Text:9.5. If s1 = a1 +ib¡ and s2 = a2 + ib2, and s182 = (aja2 – bịb2) +i(a¡b2+a2b1) use the fact that r = Va? +b² and = tan to show that in polar coordinates S1 $182 = (rir2, 01 +02), S2 O1 – 02 r2
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