Question

Choose which of the following graphs geometrical represent the sum 2+5i+(3-i)

Answer 1

I know the attached graph is the correct answer, but I don't know why, I'd like somebody to explain that to me.

Answer 2

ok, i is "imaginary" but we can still give it value

the coordinate system given sets any whole number as the x-axis with unit spacings of 1
whereas the imaginary component is set as the y-axis with unit spacing of i

Answer 3

i may HAVE worded that a bit oddly

Answer 4

Yup, i=sqrt-1
I'm assuming you man that the number that doesn't have an i in it in representation of the x axis, and the number with an i in it is in representation of y axis?

Answer 5

mean* The typos are miraculous

Answer 6

yes, its denoted on the graph
well, at least the "i" is

x is normally assumed as real number value

Answer 7

Oh yes it was, I can't believe I missed that! Alright

Answer 8

is that it? did i answer your question?

Answer 9

@sooobored I understand it better now but it's not completely clear to me yet, I realize that the line that's close to the i/y axis is a representation of the point (2,5), but I'm not sure what the purpose of the other two lines are.

Answer 10

oh ok,
it looks like they're drawn as vectors
so the vector <2,5> and the vector <3,-1>

and the resulting 3rd vector, is the result of the vector addition

Answer 11

ill draw it in order

Answer 12

starting with the vector <2,5> not to scale

Answer 13

Gotcha

Answer 14

and then you add the vector <3,-1> from the end of the first vector

Answer 15

That makes sense!