Babynini
  • Babynini
u = 3i+2j v=5i-j a) find the angle between u and v b) find the component of u along v c) find proj_v u
Mathematics
schrodinger
  • schrodinger
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Babynini
  • Babynini
@jim_thompson5910 I did part a but it came out wrong o.o
Babynini
  • Babynini
Angle: cos(theta)= (u*v)/|u||v|
Babynini
  • Babynini
(u*v) = 17 right?

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jim_thompson5910
  • jim_thompson5910
u dot v should be 13
jim_thompson5910
  • jim_thompson5910
you lost a negative sign
Babynini
  • Babynini
hrm. Yeah I added 2 instead of subtracting it.
Babynini
  • Babynini
|u| = sq13 ?
jim_thompson5910
  • jim_thompson5910
yep
jim_thompson5910
  • jim_thompson5910
how about |v|
Babynini
  • Babynini
|v| = sq26
jim_thompson5910
  • jim_thompson5910
correct
Babynini
  • Babynini
so then cos(theta) = 13/(13 sq2)
jim_thompson5910
  • jim_thompson5910
yep
Babynini
  • Babynini
theta = 45
jim_thompson5910
  • jim_thompson5910
good
Babynini
  • Babynini
ah k, it was just that 13
Babynini
  • Babynini
component of u along v would be 2.54?
jim_thompson5910
  • jim_thompson5910
sorry got distracted
jim_thompson5910
  • jim_thompson5910
let me check
jim_thompson5910
  • jim_thompson5910
I'm getting 2.5495097567964
jim_thompson5910
  • jim_thompson5910
did you get about the same?
Babynini
  • Babynini
mhm!
Babynini
  • Babynini
Sorry, I didn't see you had replied.
jim_thompson5910
  • jim_thompson5910
that's ok I didn't see it earlier too
jim_thompson5910
  • jim_thompson5910
did you figure out part c)?
Babynini
  • Babynini
Yep I got 5/2i - 1/2 j
jim_thompson5910
  • jim_thompson5910
I got <2.5, -0.5> which is the exact same
Babynini
  • Babynini
Fantastic :) the form you wrote it in is probably better haha
jim_thompson5910
  • jim_thompson5910
either way works
Babynini
  • Babynini
oki! thanks :)

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