Question

Homework 4 - Complex number Chapter 14 =42; 46; 48 42. Perform the following subtractions in rectangular form: a. (9.8 + | 6.2) – (4.6 + | 4.6) b. (167 + ; 243) - (-42.3 - ; 68) 6. (-36,0 + ; 78) - 1-4 - ; 6) + (10.8 - ; 72) 46. Perform the following divisions in polar form: a. (42 2 10°)/17 260°) b. (0.006 2 120°)/(30 Z+60°) c. (4360 L-20)/(40 L-210°)

Answer 1

Answer 42:

a) (9.8 + 6.2j)- (4.6 + 4.6j)

Grouping the real and imaginary parts together

= (9.8 - 4.6) + (6.2 - 4.6)j

= 5.2 + 1.6j

b) (167 + 243j) - (-42.3 - 68j)

Grouping the real and imaginary parts together

= (167 + 42.3) + (243 + 68)j

= 209.3 + 311j

c) (-36 + 78j) - (-4 - 6j) + (10.8 - 72j)

Performing the subtraction first

= (-36 + 4) + (78 + 6)j + (10.8 - 72j)

= (-32 + 84j) + (10.8 - 72j)

Performing the addition

= (-32 + 10.8) + (84 - 72)j

= -21.2 + 12j

Answer 46:

a) (42 40°) (7<609 (dividing 42 with 7, subtracting to with 6 Z-50° Cadding 360 to the angle since it is in negative) 6 2310 b) (0.006 4120°) ( 30 260° - 2x10-4 L60° c) (4360 <-20°) 1402-2102 109 2190°