Question

I NEED VECTOR HELP!!! CAN ANYONE HERE DO CAL 2 CALCULATIONS???

Answer 1

Find two unit vectors that make an angle of 60° with v = ‹6, 8›. Give your answers correct to three decimal places.

Answer 2

ANYONE????

Answer 3

I tried, sitting this one out. Will be watching with great interest.

Answer 4

ROACHIE sorry :(

Answer 5

:P

Answer 6

ill give you a medal if someone figures this out...lol

Answer 7

ah!

Answer 8

what is the magnitude of u?

Answer 9

|v|=10

Answer 10

6a + 8b = \[\left| u \right|\] (10)(1/2)

Answer 11

... u?

Answer 12

by theorem 3 we need u * v = \[\left| v \right| \left| u \right|\] cos 60

Answer 13

would u be 1?

Answer 14

\[\sqrt{a ^{2}+b^{2}}\]

Answer 15

if i knew what the magnitude of u was i could figure this problem out.

Answer 16

oh, u=<6,8>??

Answer 17

right?

Answer 18

u = <a,b>

Answer 19

v = <6,8>

Answer 20

the magnitude of u (unit vector) is 1

i dont remember the formula for that theorem you were referring

Answer 21

yea, I dont know where u came from but yes, u being a unit vector has magnitude 1

Answer 22

6a + 8b = 5 therefore b=5/8 - 3/4a

Answer 23

a^2 + (5/8 -3/4a)^2 = 1

Answer 24

?? any thoughts on that?

Answer 25

where does the 5 come from?

Answer 26

1/2 (10)

Answer 27

u * v = |v||u| cos 60

now I see u, duh

Answer 28

why are we dividing 10 (|v|) by 2

Answer 29

cos of 60 is 1/2

Answer 30

someone want to factor that out for me...

Answer 31

because im sure to f THAT up.

Answer 32

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...

Answer 33

im not following r . . . . .

Answer 34

haha...25/64 -30/32a +9/16a^2

Answer 35

v-hat = v/|v|

Answer 36

then quadratic... fun fun

Answer 37

|v-hat|=1

Answer 38

30/32 +- \[\sqrt{30/32^{2}-4(25/64)(9/16)}/2(25/64)\]

Answer 39

fml

Answer 40

did you add the original a^2 to the factor? dumbcow?

Answer 41

no i didn;t
multiply everything by 64

100a^2 -60a -39 = 0

a = -.3928, .9928

Answer 42

then i need to plug those back into 5/8 -3/4a to find b right?

Answer 43

yep

Answer 44

<-.3928,.9196> and <.9928, -.1196>

Answer 45

looks good

Answer 46

YES!!!!!

Answer 47

thank god!