how to get, two vectors of length 26 units and slope 5/12?

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- July 6th 2010, 10:48 AMrabih2011vectors
how to get, two vectors of length 26 units and slope 5/12?

- July 6th 2010, 10:58 AMearboth
- July 6th 2010, 01:38 PMHallsofIvy
Call the vector <x, y>. Saying it has length 26 means that . Saying that it has slope 5/12 means that x/y= 12. That gives you two equations to solve for x and y. From x/y= 12, x= 12y so the first equation becomes . You may assume that x and y are positive: if x and y are both positive or both negative, the sign disappears in both formulas. That is, if you find <x, y> which satisfies those equations, so does <-x, -y>. (I don't think it is necessary to "assume" your vectors are in - if they were not they would not have "slope".)

- July 6th 2010, 02:10 PMSoroban
Hello, rabih2011!

Quote:

Find two vectors of length 26 units and slope

Let the vector be

Its length is 26: . .[1]

Its slope is .[2]

Substitute [2] into [1]: .

. .

Substitute into [1]: .

The two vectors are: .

- July 6th 2010, 05:42 PMHallsofIvy
Arghh! I forgot to

**square**the 5/12! Thanks, Soroban.