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Mathematics 19 Online
OpenStudy (matlee):

Need help with pre-calculus will give owl bucks Screen shot below

OpenStudy (matlee):

Number 11 only

OpenStudy (whpalmer4):

can you tell me the vector from A to B?

OpenStudy (matlee):

The slope?

OpenStudy (whpalmer4):

A is (4,0) B is (2,1) What do you have to add to the x coordinate of A to get the x coordinate of B? What do you have to add to the y coordinate of A to get the y coordinate of B? Those two numbers, in order, are the vector from A to B. They are not, however, the UNIT vector in that direction, as the magnitude of the vector is not 1. You do have to first find the vector from A to B to find the unit vector...

OpenStudy (matlee):

-2,1 omg u jsut saved my life!

OpenStudy (whpalmer4):

Okay, so that's the vector from A to B. The magnitude of that vector is found by squaring both components, adding them, and taking the square root: \[m = \sqrt{x^2+y^2}\]

OpenStudy (whpalmer4):

What do you get for the magnitude of the vector <-2,1>?

OpenStudy (matlee):

Sqrt 5

OpenStudy (whpalmer4):

good. so to get a unit vector, we want the same direction, but the magnitude to only be 1. we can accomplish that by dividing our vector by its magnitude, which gives us <-2/sqrt(5), 1/sqrt(5)> or after normalization, <-2 sqrt(5)/5, sqrt(5)/5>

OpenStudy (matlee):

Oh wow that was easy i fugred out B aswell , including A with your help ! Thank you

OpenStudy (whpalmer4):

you're welcome!

OpenStudy (matlee):

I have sent you an owlbuck

OpenStudy (whpalmer4):

thanks!

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