which complex number is represented by the vector on the graph?imaginary-5-5real-5a -1+5i b -5+ic 1-5i d -5i
which complex number is represented by the vector on the graph?imaginary-5-5real-5a -1+5i b -5+ic 1-5i d -5i
Answer
Explanation:
Step1: Recall complex number graphing
A complex number ( a + bi ) is graphed with real part ( a ) on the x - axis and imaginary part ( b ) on the y - axis.
Step2: Analyze the vector's coordinates
The vector starts at the origin ((0,0)) and ends at a point. Looking at the graph, the x - coordinate (real part) is ( 1 ) (since it is 1 unit to the right of the origin on the real axis) and the y - coordinate (imaginary part) is (- 5) (since it is 5 units down on the imaginary axis). So the complex number is ( 1-5i ).
Answer:
C. ( 1 - 5i )