Mathematics
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OpenStudy (angelwings996):
Let u = <4,-1> and v = <3,5>. What is lu + vl rounded to the nearest hundredth?
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OpenStudy (angelwings996):
That is suppose to be absolute values btw
OpenStudy (zzr0ck3r):
do you know the distance function?
OpenStudy (angelwings996):
distance formula?
OpenStudy (zzr0ck3r):
this is the norm of two vectors
norm(a,b) = || a - b || = || b - a || = sqrt((a_1)-(b_1))^2 + (a_2 - b_2)^2 + .......)
OpenStudy (zzr0ck3r):
so you have sqrt((5-(-1))^2 + (3-4)^2) = sqrt(36+ 1) = sqrt(37)
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OpenStudy (angelwings996):
Okay, is there more so do I just round that ?
OpenStudy (angelwings996):
*or not so
OpenStudy (zzr0ck3r):
37 is prime I think
OpenStudy (zzr0ck3r):
so yes round that
OpenStudy (angelwings996):
Okay, so would it be 6.1 ?
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OpenStudy (zzr0ck3r):
its Pythagoreans theorem
OpenStudy (zzr0ck3r):
sure sounds about right
jimthompson5910 (jim_thompson5910):
the answer should be larger than 6.1
OpenStudy (angelwings996):
how ?
jimthompson5910 (jim_thompson5910):
u = <4,-1> and v = <3,5>
u+v = <4,-1>+<3,5>
u+v = <4+3,-1+5>
u+v = <7,4>
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OpenStudy (zzr0ck3r):
o wow I read minus, ...... sorry
jimthompson5910 (jim_thompson5910):
|u+v| = sqrt(7^2+4^2)
|u+v| = sqrt(49+16)
|u+v| = sqrt(65)
|u+v| = 8.06225774829854
|u+v| = 8.06
OpenStudy (angelwings996):
Oh okay, that sounds a bit better. Thank you @jim_thompson5910
OpenStudy (zzr0ck3r):
change my 5- to 5+ and 3- to 3+ and your good:) sorry
jimthompson5910 (jim_thompson5910):
yw
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OpenStudy (angelwings996):
Thats okay @zzr0ck3r I get what you did though (: