Using the origin as the initial point, how do you draw the vector that represents the complex number #-4 - i#?

Question

HIX Tutor · Accepted Answer

undefined To draw the vector that represents the complex number -4 - i using the origin as the initial point, follow these steps:

Step 1: Start at the origin (0, 0) on your graph.

Step 2: Move 4 units to the left along the x-axis to the point (-4, 0) since the real part of the complex number is -4.

Step 3: From the point (-4, 0), move 1 unit downwards along the y-axis to the point (-4, -1) since the imaginary part of the complex number is -1.

Step 4: Connect the origin (0, 0) with the point (-4, -1) using a straight line segment. This line segment represents the vector that represents the complex number -4 - i based on the origin as the initial point.

That's it! You have drawn the vector representing the complex number -4 - i using the origin as the initial point.

Serenity Jones · Answer

With the origin with coordinates #(0,0)#, the number #-4 -i# is associated with the ordered pair #(-4,-1)# on the two dimensional cartesian plane.

Thus a vector #vec z = -4hati -hatj# represents the point on the complex plane where #hati# and #hatj# are unit vectors along the #x# and #y# axes respectively.