100% Add and Subtract Complex Numbers Assignment

The complex numbers z and w are graphed. Which expression represents z + w?

(2 - i) + (3 + 2i)

Let z = 1 + 3i and w − z = − 3 − 4i. What is w?

-2 - i

The image shows w and z + w. What is z? z = ___ + ___i

-3, 6

Consider the numbers z = sqrt 2 (cos 45 deg + i sin 45deg )and w = 2(cos 90 deg + i sin 90 deg). Fill in the blanks to complete the statements. In rectangular form, z − w = 1 − ___i In polar form z - w = sqrt 2 (cos ___ deg + i sin ___ deg)

1 315, 315

Let z = 1 + 3i and w = −3 − 4i. Use the drop down menus to complete the statements. The sum z + w is equal to − ___ - ___i. The sum w + z is equal to -2 - ___i. The result supports that complex number addition is ___.

2, 1 1 commutative

Complete each of the following statements given z = 1 - 2i and w = -3 + 5i. z + w = −2 + ____i z - w = ___ - 7i w - z = -4 + ___i

3 4 7

Consider the numbers z = 3 sqrt (cos(135°) + i sin(135deg) and w = cos(180deg) + i sin(180°). Which expression is closest to the polar form of z + w?

5(cos(143deg) + i sin(413 deg))

The complex numbers z1 and z2 are graphed. Which point represents z_1 + z_2?

A

The complex numbers z1 and z2 are graphed. Which point represents z_1 - z_2?

A

Which graph represents z = (-3 + 4i) - (2 + i)?

Graph D