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Mathematics 18 Online
OpenStudy (anonymous):

Write the sum of the two vectors as an ordered pair. (7, -5) and (4,4). Will give medals!

OpenStudy (jdoe0001):

\(\large <a,b>+<c,d>\implies <a+c, b+d>\)

OpenStudy (anonymous):

I dont have C.

jimthompson5910 (jim_thompson5910):

translating what jdoe0001 just wrote: to add the vectors, you simply add the corresponding components

jimthompson5910 (jim_thompson5910):

example: <1, 7> + <5, 12> = <1+5, 7+12> = <6, 19> <1, 7> + <5, 12> = <6, 19>

jimthompson5910 (jim_thompson5910):

also, you can write the vector <1,7> as the ordered pair (1,7)

OpenStudy (anonymous):

Okay Im still confused. I dont see where I can get the value for C.

OpenStudy (anonymous):

Im sorry if its obvious and im being dumb.

jimthompson5910 (jim_thompson5910):

where are you seeing "C" ?

OpenStudy (anonymous):

<a,b>+<c,d>⟹<a+c,b+d> In there

jimthompson5910 (jim_thompson5910):

oh those are just placeholders for numbers

OpenStudy (anonymous):

Okay so basically I just add it all

jimthompson5910 (jim_thompson5910):

add up the corresponding components

jimthompson5910 (jim_thompson5910):

notice how with <a,b>, the 'a' is the first component with <c,d>, the 'c' is the first component

OpenStudy (anonymous):

wait would it be (11, -1) right?

jimthompson5910 (jim_thompson5910):

add the first components: a+c that's why you have 'a+c' in <a+c, b+d> in the first component of the answer

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (anonymous):

Cool. Are you online a alot? I frequently run into problems.

jimthompson5910 (jim_thompson5910):

somewhat a lot, yes

jimthompson5910 (jim_thompson5910):

others on this site can help as well (not just me)

OpenStudy (anonymous):

I have a question about adding vectors, I will make a new thread. I just find that often when I come here during the day (i have online courses) I cant get as much help because some are offline so I add a few who help me and I try to get help from them

jimthompson5910 (jim_thompson5910):

ok post your new question

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