Solving Equations and Expressions

Which of the following is equivalent to the value of x?

x = (1234)(134)(1432)

• (124)

• (1342)

• (1243)

• (123)

• iota

• iota

• (1245)

• (12435)

• (12354)

• (15234)

• does not exist

• (165432)

• iota

• (165234)

• (123465)

Solve the equation

(123)(x) = (1243)

Solve the equation

(x)(1234) = (124)

z1 = 4+2i

z2 = -1 + 3i

Which of the following are true?

• z1*z2 is in the first quadrant

• z1+z2 is in the first quadrant

• z1-z2 is in the first quadrant

• z1/z2 is in the first quadrant

• (z1)^2 is in the first quadrant.

Which of the following statements are true about the complex numbers shown in the complex plane?

• The absolute value of each complex number are equal

• The product of the red and green is a real number

• The product of the red and blue is a real number

• The product of the red and yellow is a real number.

• The product of all the complex numbers shown is a real number

What is the red complex number written in it's polar form?

• -21+20i

• 5.4cis(136)

• 29cis(136)

• 28cis(68)

• i + j + k

What is the blue complex number * green complex number?