WorksheetsReview 6.3-6.5
Total questions: 12
Worksheet time: 25mins
Determine the absolute value of: z = -1 - 2i
5
√5
3
√3
Write the complex number in polar/trig form: z = 3i
9[cos(90o) + isin(90o)]
3[cos(0o) + isin(0o)]
3[cos(90o) + isin(90o)]
9[cos(0o) + isin(0o)]
Write the complex number in standard/rectangular form: z = 10[cos(150o) + isin(150o)]
-5i + 5√3
5i + 5√3
5√3 + 5i
-5√3 + 5i
Find the product in polar/trig form: z1=10[cos(120o) + isin(120o)] & z2=6[cos(270o) + isin(270o)]
60[cos(390o) + isin(390o)]
16[cos(390o) + isin(390o)]
60[cos(150o) + isin(150o)]
16[cos(150o) + isin(150o)]
Find the quotient in polar/trig form: z1=10[cos(70o) + isin(70o)] & z2=5[cos(25o) + isin(25o)]
5[cos(45o) + isin(45o)]
2[cos(95o) + isin(95o)]
2[cos(45o) + isin(45o)]
5[cos(95o) + isin(95o)]
Find the fifth power in polar/trig form of: z = (√3 - i)
10[cos(1650o) + isin(1650o)]
32[cos(1650o) + isin(1650o)]
243[cos(1650o) + isin(1650o)]
15[cos(1650o) + isin(1650o)]
Determine the component form of a vector with initial point at (-2, 1) and terminal point at (-5,4)
<-3, 3>
<-7, 3>
<3, -3>
<-7, -3>
Determine the magnitude of a vector with components <9, 4>
√13
√65
√97
√5
Determine the direction of a vector with components <8, -5>
32o
-60o
60o
-32o
Find u + w: u = <5, -2> & w = <-4, 1>
<9, -3>
<-20, -2>
<1, -1>
<9, -1>
Find w - v: w = <-3, -9> & v = <1, -2>
<-4, -7>
<-2, -11>
<-3, 18>
<-2, -7>
Find the angle in between u & v: u = <2, 1> & v = <1, 3>
22o
63o
45o
72o
