anonymous
  • anonymous
I NEED VECTOR HELP!!! CAN ANYONE HERE DO CAL 2 CALCULATIONS???
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Find two unit vectors that make an angle of 60° with v = ‹6, 8›. Give your answers correct to three decimal places.
anonymous
  • anonymous
ANYONE????
anonymous
  • anonymous
I tried, sitting this one out. Will be watching with great interest.

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anonymous
  • anonymous
ROACHIE sorry :(
anonymous
  • anonymous
:P
anonymous
  • anonymous
ill give you a medal if someone figures this out...lol
anonymous
  • anonymous
ah!
anonymous
  • anonymous
what is the magnitude of u?
anonymous
  • anonymous
|v|=10
anonymous
  • anonymous
6a + 8b = \[\left| u \right|\] (10)(1/2)
anonymous
  • anonymous
... u?
anonymous
  • anonymous
by theorem 3 we need u * v = \[\left| v \right| \left| u \right|\] cos 60
anonymous
  • anonymous
would u be 1?
anonymous
  • anonymous
\[\sqrt{a ^{2}+b^{2}}\]
anonymous
  • anonymous
if i knew what the magnitude of u was i could figure this problem out.
anonymous
  • anonymous
oh, u=<6,8>??
anonymous
  • anonymous
right?
anonymous
  • anonymous
u =
anonymous
  • anonymous
v = <6,8>
dumbcow
  • dumbcow
the magnitude of u (unit vector) is 1 i dont remember the formula for that theorem you were referring
anonymous
  • anonymous
yea, I dont know where u came from but yes, u being a unit vector has magnitude 1
anonymous
  • anonymous
6a + 8b = 5 therefore b=5/8 - 3/4a
anonymous
  • anonymous
a^2 + (5/8 -3/4a)^2 = 1
anonymous
  • anonymous
?? any thoughts on that?
dumbcow
  • dumbcow
where does the 5 come from?
anonymous
  • anonymous
1/2 (10)
anonymous
  • anonymous
u * v = |v||u| cos 60 now I see u, duh
dumbcow
  • dumbcow
why are we dividing 10 (|v|) by 2
anonymous
  • anonymous
cos of 60 is 1/2
anonymous
  • anonymous
someone want to factor that out for me...
anonymous
  • anonymous
because im sure to f THAT up.
anonymous
  • anonymous
if we know that u is a unit vector then v * u = |v|cos 60 if you unit vector v then v*u = cos 60 that how I think of it...
anonymous
  • anonymous
im not following r . . . . .
dumbcow
  • dumbcow
haha...25/64 -30/32a +9/16a^2
anonymous
  • anonymous
v-hat = v/|v|
anonymous
  • anonymous
then quadratic... fun fun
anonymous
  • anonymous
|v-hat|=1
anonymous
  • anonymous
30/32 +- \[\sqrt{30/32^{2}-4(25/64)(9/16)}/2(25/64)\]
anonymous
  • anonymous
fml
anonymous
  • anonymous
did you add the original a^2 to the factor? dumbcow?
dumbcow
  • dumbcow
no i didn;t multiply everything by 64 100a^2 -60a -39 = 0 a = -.3928, .9928
anonymous
  • anonymous
then i need to plug those back into 5/8 -3/4a to find b right?
dumbcow
  • dumbcow
yep
anonymous
  • anonymous
<-.3928,.9196> and <.9928, -.1196>
dumbcow
  • dumbcow
looks good
anonymous
  • anonymous
YES!!!!!
anonymous
  • anonymous
thank god!

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