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Answer:
(a) 12∠0.1
(b) 3∠-0.1
(c) (1/3)∠-0.1
Step-by-step explanation:
In this answer, we will use the notation r∠φ to identify the "r-part" and the "φ-part" of your polar-form complex numbers.
Given: z = 3∠0.1
(a) 4z = 12∠0.1 . . . . . the r-part is multiplied by the scalar
(b) z* = 3∠-0.1 . . . . . the conjugate is formed by negating the angle
(c) 1/z = (1/3)∠-0.1 . . . . the reciprocal inverts the magnitude and negates the angle.
