Mathematics (Science & Mathematics) - 5 November 2007

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Find two vectors orthogonal to the three (in 4-space)?

I have to find two vectors of norm 1 that are orthogonal to vectors:
(2,1,-4,0),
(-1,-1,2,2) , and
(3,2,5,4).
I am supossed to let the vectors be (x_1, x_2, x_3, x_4), and then solve a linear system. I should have a parameter in my solution, and determine that parameter using the norm 1 condition.
Could someone explain these steps in more detail please? I still don't understand what to do.

2007-11-05 02:47:35 · 2 answers · asked by Anonymous

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If I have these three vectors: (2,1,-4,0) , (-1,-1,2,2) , (3,2,5,4) how do I find the cross product?

I know the answer is (-34, 50, -6, 11) , but how do you get that solution? what is the process?

2007-11-05 02:31:42 · 1 answers · asked by Anonymous

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if i mix 1 part (a) to 30 parts (b) that would be a 1 to 30 ratio? do it again would it be 2 to 60 ratio then?

i want to know if mixing a 1 to 30 ratio in a bottle then mix another 1 to 30 ratio in a seperate bottle. then mix the contents together into one bottle. Would the ratio still be 1 to 30 or would it change to a 2 to 60 ratio?

2007-11-05 02:27:23 · 4 answers · asked by Rick 1

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what is mean by LSB (least siginificant bit) and MSB (most significant bit)????

2007-11-05 02:26:47 · 5 answers · asked by Anonymous

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Consider all five-digit numbers formed by using the digits 1, 2, 3, 4, and 5 once and only once in each number

2007-11-05 02:24:29 · 3 answers · asked by jon b 1

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how do i find teh hight of a cylinder with the base dia of 500mm and the capacity of 250 liters?

please help :D

2007-11-05 02:20:36 · 4 answers · asked by Anonymous

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I need help with this calculus problem?

This is not for a grade, this for my job. I'm testing the content at my company website,since students are saying there answers are being marked wrong when they're correct. Thanks I appreciate it.

A cable is to be run from a power plant on one side of a river 2,400 meters wide to
a factory on the other side, 2,600 meters downstream. The cost of running the cable
under the water is $55 per meter, while the cost over land is $44 per meter. What is
the most economical route over which to run the cable? Round your answer to the
nearest integer.

2007-11-05 01:36:01 · 9 answers · asked by Anonymous

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Conservative vector field?

I don't need the full solution, just give me some hints as much as posible, and can someone tell me how this question is related to conservative vector field? in the following part, j is always a subscript, sum(wj,j=1..n) means to calculate the sum of wj from j=1 to j=n, I hope this writing style can be understood cos no way to type the math notation here.

Consider a closed polygon with vertices,v1,v2,...,vn,vn+1=v1, arranged in the positive direction and let v be a point inside the polygon. Show that
v=(sum(wjvj,j=1..n)/(sum(wj,j=1..n))
where wj=tan( (alpha(j-1))/2 + tan(alpha(j)/2) / modulusof(vj-v),j=1,2,...n and alpha(j) is the angle with |alpha(j)|

2007-11-05 01:30:37 · 3 answers · asked by Ö¿ ³ 1

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