Mathematics - 22 September 2007

In the following case, the set of vectors {v1, · · · , vn} forms an orthonormal basis for the corresponding Euclidean vector space Rn.
Find an expression for the given vector w in terms of this basis.

n = 2
v1 = | (1/ √2) (1/ √2) |^T
v2 = | (1/ √2) (-1/ √2) |^T
w = | 4 9 |^T

Thanks for all the help, I'm really stuck on this one!

2007-09-22 23:05:32 · 2 answers · asked by Anonymous

1 divided by (2-root 3)

sorry I didn't make my last question clear

show the workings out please

2007-09-22 22:53:19 · 8 answers · asked by Anonymous

Please explain procedure.

2007-09-22 20:38:24 · 3 answers · asked by Free the monkey in you! 3

I need help.
my algebra teacher didnt explain this
very well and so i need the answer to this
thank you so much

2007-09-22 19:44:52 · 3 answers · asked by Anonymous

2007-09-22 19:36:51 · 2 answers · asked by catherine_mae12 2

If y = (x - 5)/2
then does y^2 = (x^2 - 25)/4
or is it y^2 = (x^2 + 25)/4

is the 25 positive or negative?

thanks in advance

2007-09-22 19:35:52 · 2 answers · asked by Anonymous

85 = 13.06x - 1.9x2

x2 means "x" squared.

2007-09-22 19:08:11 · 4 answers · asked by Fly Away with Me Love 1

9=a^2+ 2a+1

how do I get a?

tell me how i solve dis.. step-by-step

THANKS!!

2007-09-22 18:55:30 · 9 answers · asked by jusdenise 3

square root 73. How do I set this problem up?

a^2 + b^2 = 73 is what I have so far.

2007-09-22 18:15:40 · 8 answers · asked by Jen 4

of the square root of (x^2 - 4)? could you show steps please?

i swear calculus is going to drive me insaneeee

2007-09-22 17:53:01 · 5 answers · asked by Anonymous 3

2007-09-22 17:33:17 · 12 answers · asked by wassem m 1

how is this true?

2007-09-22 17:21:18 · 5 answers · asked by RiCARD0 1

Show that an equation of the line having x-intercept a and y-intercept b is x/a + y/b = 1. This is called intercept form.

How do I do this? Please help and be clear in all steps. Thanks in advance

2007-09-22 17:04:44 · 5 answers · asked by Anonymous

2007-09-22 16:57:48 · 8 answers · asked by moksh k 1

The expression f(x)=ax^3-(a+3b)x^2+2bx+c is exactly divisible by x^2-2x. When f(x) is divided by x-1, the remainder is 8 more than when it is divided by x+1. Factorise f(x) completely. Find the range of values of x for which f(x)<0.

How do you get rid of c? It doesn't allow me to do simultaneous eqn. if you factorise x^2-2x=x(x-2), does it mean if you let x=0, then f(0)=c, c=0"?

2007-09-22 16:37:31 · 2 answers · asked by Mortred 2

2007-09-22 16:36:09 · 21 answers · asked by dollbw 1

A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths

2007-09-22 16:19:57 · 3 answers · asked by Anonymous

The probability a person selected at random has had exactly one visit to a doctor in the previous year is .45. Two patients are selected at random. Find the probability that both patients have had exactly one visit to a doctor.

2007-09-22 16:10:36 · 5 answers · asked by gibsonb2005 1

2007-09-22 16:02:10 · 14 answers · asked by Anonymous

2007-09-22 15:46:49 · 3 answers · asked by @aX-roads 1

2007-09-22 15:36:30 · 19 answers · asked by @aX-roads 1

Given that A + B + C = 180°, prove the identity.

sin 2A + sin 2B + sin 2C = 4(sin A)(sin B)(sin C)

2007-09-22 15:22:23 · 4 answers · asked by Northstar 7

Two skiers begin skiing along a trail at the same time. The faster skier averages 9 miles per hour and the slower skier averages 6 miles per hour. The faster skier completes the trail 1/4 hour before the slower skier. How long is the trail?

2007-09-22 15:19:43 · 2 answers · asked by butterflyangel 3

2007-09-22 15:15:41 · 4 answers · asked by Anonymous 3

i forgot to add that on the last one, sorry

2007-09-22 15:09:58 · 3 answers · asked by jake p 2

Find parametric equations for the tangent line at the point
(cos(pi/6), sin(pi/6), (pi/6) on the curve x=cos t, y=sin t z=t

please help...i have tried this a lot and cant get it...i always give best answers for hw help.

2007-09-22 14:59:47 · 2 answers · asked by Anonymous

Find the eigenvalues & corresponding eigenvectors of the matrix A =
[ 1 2 4 ]
[ 1 2 4 ]
[ 1 2 4 ]

ok so i've found the eigenvalues to be 7 and 0 but i can't find the eigenvectors. help plssssss~~~

2007-09-22 14:57:14 · 2 answers · asked by Snoopy 1

2007-09-22 14:46:00 · 4 answers · asked by Anne Marie W 1

2007-09-22 14:29:59 · 7 answers · asked by Anonymous

length: x+ 8
width: x
height: x + 7


i dont get this at all


PLEASE HELP and if u please, show all of ur work.....

thanks

2007-09-22 14:12:56 · 12 answers · asked by Anonymous