18
RCMultiple Choice
Cumulative Exam
Question 18 of 25 • S1S-OC: Pre-Calculus A (E3700 - AG)
For two complex numbers z and w, which diagram shows the geometric representation of zw?
Answer
A
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line with length r 1 goes to point z, a line with length r 1 + r 2 goes to point z w, and a line with length r 2 goes to point w. The angle to line w is theta 2, z is theta 1, z w is theta 1 minus theta 2.
B
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line with length r 1 goes to point z, a line with length r 1 r 2 goes to point z w, and a line with length r 2 goes to point w. The angle to line w is theta 2, z is theta 1, z w is theta 1 minus theta 2.
C
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line with length r 1 + r 2 goes to point z w, a line with length r 1 goes to point z, and a line with length r 2 goes to point w. The angle to line w is theta 2, z is theta 1, z w is theta 1 + theta 2.
D
On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. A line with length r 1 r 2 goes to point z w, a line with length r 1 goes to point z, and a line with length r 2 goes to point w. The angle to line w is theta 2, z is theta 1, z w is theta 1 + theta 2.