anonymous
  • anonymous
vectors!!! help me refresh
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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zzr0ck3r
  • zzr0ck3r
so think if we are at the point (0,0) and we use vector d=(1,2) to get to our new position |dw:1377848834415:dw| well what will e=-d=(-1,-2) do?
anonymous
  • anonymous
|dw:1377848964298:dw| it will be the reverse process, right
zzr0ck3r
  • zzr0ck3r
yeah

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anonymous
  • anonymous
so what i can't recall is how to solve this problem...i guess e = -d = -24 meters is answer but not sure
zzr0ck3r
  • zzr0ck3r
well if we are considering R^2 ( 2 dimensions ) then tipically we would call in the x direction "east" so our vector d will be d = (24,0) and -d=(-24,0)
zzr0ck3r
  • zzr0ck3r
these are vectors not real numbers.
anonymous
  • anonymous
oh ya...i gotcha...its the graph...ok now help me totally understand it...lets say now |dw:1377849289057:dw| so the answer would be e = 3d = (72,0) ???
zzr0ck3r
  • zzr0ck3r
you can think of (0,24) is the vector you are adding on to where you are different example |dw:1377849291035:dw| |dw:1377849369564:dw|
zzr0ck3r
  • zzr0ck3r
correct
anonymous
  • anonymous
where did p come from
zzr0ck3r
  • zzr0ck3r
that is just some random point ( where we started )
zzr0ck3r
  • zzr0ck3r
|dw:1377849511465:dw|
zzr0ck3r
  • zzr0ck3r
so we add head to tale
anonymous
  • anonymous
yea correct...head to tail but i can't see P in my question....just D
zzr0ck3r
  • zzr0ck3r
if we add -d we will be back at the start|dw:1377849583801:dw|
zzr0ck3r
  • zzr0ck3r
well we are given instructions to move to some place, that means we are in some place right now. Call that P. I just choose a random point/vector to call P
anonymous
  • anonymous
alright. So we are at position P right now....we started from p to 24 m east i.e. d...if we got e = -d we would be back to where we started. So what are the instructions??? or what does it mean
zzr0ck3r
  • zzr0ck3r
I guess you would call them reverse instructions. I dont know what they want for an answer. I dont know if they want the vector or what the vector does. just write down both
zzr0ck3r
  • zzr0ck3r
I actually would just say that it gives reverse directions
zzr0ck3r
  • zzr0ck3r
we are assuming allot by placing our graph where x means east.... it could be 3d it could be 4d...... but in all cases it will be revirse directions
anonymous
  • anonymous
alright so e=2d gives twice the original direction, 3d gives thrice, -2d gives 2 times reverse direction etc right
zzr0ck3r
  • zzr0ck3r
correct, essentially what this wants you to understand, is that if we have a vector d, then -d just flips it|dw:1377850279820:dw|
zzr0ck3r
  • zzr0ck3r
my point with these drawings is that vectors have no placement, they are the same if we move them around.... but in your situation we are using the vector as a direction from where we are, so we start there
zzr0ck3r
  • zzr0ck3r
and everything there should be parallel....
anonymous
  • anonymous
gotcha...one last question lets say that there is now vector H which represents "go to 24 m south of where you are now" and D is the same. How can we represent Get to 34 m SOUTHEAST and to position 34 m SOUTHWEST of where you are now
anonymous
  • anonymous
|dw:1377850603155:dw|
zzr0ck3r
  • zzr0ck3r
correct and \[\sqrt{24^2+24^2}\approx34\]|dw:1377850795358:dw|
zzr0ck3r
  • zzr0ck3r
I think that was the point with the 34
zzr0ck3r
  • zzr0ck3r
wait that is se and ne we want sw what will that be?
anonymous
  • anonymous
oh wait it is southwest not northeast
anonymous
  • anonymous
-d +h
zzr0ck3r
  • zzr0ck3r
correct
anonymous
  • anonymous
awesome man...totally understood the first part but still can't figure out instructions
zzr0ck3r
  • zzr0ck3r
addition is commutative with vectors so we can write h-d
zzr0ck3r
  • zzr0ck3r
yeah, I think it just wants you too say reverse directions, or inver instructions
zzr0ck3r
  • zzr0ck3r
exactly how was it worded?
anonymous
  • anonymous
suppose vectors d and h are defined AS I SAID. how can you represent instructions "get to position about 34 meters southwest of where you are now"
zzr0ck3r
  • zzr0ck3r
ok the vector "represents" instructions so the vector IS instructions they tell you to "write instructions" that means write a vector that vector is -d
zzr0ck3r
  • zzr0ck3r
ok reading it like that d = (24,0) -d = (-24,0) se = d+h sw = h-d
zzr0ck3r
  • zzr0ck3r
d+h = (24,0)+(0,-24))=(24,-24) magnitude(the length) of (24,-24) is about 34
anonymous
  • anonymous
yeah and wording wise it will be se = go to east and then south and sw would be go to h and opposite direction of d...
zzr0ck3r
  • zzr0ck3r
rvb
zzr0ck3r
  • zzr0ck3r
brb
anonymous
  • anonymous
kk
anonymous
  • anonymous
I will just close this question. I think I got it
zzr0ck3r
  • zzr0ck3r
aight

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