{"id":8475,"date":"2016-12-16T03:25:26","date_gmt":"2016-12-16T03:25:26","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=8475"},"modified":"2017-05-11T12:02:05","modified_gmt":"2017-05-11T12:02:05","slug":"representing-complex-numbers-graphically","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/representing-complex-numbers-graphically\/","title":{"rendered":"Representing Complex Numbers Graphically (+ & -)"},"content":{"rendered":"
Due to their unique nature, complex numbers<\/a> cannot be represented on a normal set of coordinate axes.<\/p>\n In 1806, J. R. Argand developed a method for displaying complex numbers<\/a> graphically as a point in a coordinate plane. His method, called the Argand diagram, establishes a relationship between the x-axis (real axis) with real numbers and the y-axis (imaginary axis) with imaginary numbers.<\/p>\n In the Argand diagram, a complex number a + bi is the point (a,b) or the vector from the origin to the point (a,b). 1. 3 + 4i (3,4)<\/p>\n 2. 2 – 3i (2,-3)<\/p>\n 3. -4 + 2i (-4,2)<\/p>\n 4. 3 (which is really 3 + 0i) (3,0)<\/p>\n 5. 4i (which is really 0 + 4i) (0,4)<\/p>\n The complex number<\/a> is represented by the point, or by the vector from the origin to the point.<\/p>\n <\/p>\n Add 3 + 4i and -4 + 2i graphically.<\/p>\n Graph the two complex numbers 3 + 4i and -4 + 2i as vectors.<\/p>\n Create a parallelogram using these two vectors as adjacent sides.<\/p>\n The answer to the addition is the vector forming the diagonal of the parallelogram (read from the origin).<\/p>\n This new vector is called the resultant vector.<\/p>\n <\/p>\n Subtract 3 + 4i from -2 + 2i<\/p>\n Subtraction is the process of adding the additive inverse. Graph the two complex numbers as vectors.<\/p>\n Graph the additive inverse of the number being subtracted.<\/p>\n Create a parallelogram using the first number and the additive inverse. The answer is the vector forming the diagonal of the parallelogram.<\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":" Representing Complex Numbers Graphically (+ &\u00a0-) Due to their unique nature, complex numbers cannot be represented on a normal set of coordinate axes. In 1806, J. R. Argand developed a method for displaying complex numbers graphically as a point in a coordinate plane. His method, called the Argand diagram, establishes a relationship between the x-axis … Read more<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[3077],"yoast_head":"\n
\nGraph the complex numbers<\/strong>:<\/p>\n
\n(-2 + 2i) – (3 + 4i)
\n= (-2 + 2i) + (-3 – 4i)
\n= (-5 – 2i)<\/p>\n