Unit Vector from Point A to Point B | Simple Vector Problem

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SUMMARY

The unit vector from point A=(2,2) to point B=(4,0) is derived by first calculating the vector direction as B-A, resulting in the vector (2,-2). The magnitude of this vector is calculated using the formula sqrt(deltaX^2 + deltaY^2), which equals 2. To obtain the unit vector, the original vector (2,-2) is divided by its magnitude, yielding the correct unit vector of (1,-1).

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graycolor
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The unit vector that has the same direction as the vector from the point A=(2,2) to the point B=(4,0) is?

I chose to find the length so that would be A-B right?
I got (-2,2) as the vector between the two points.
I found its magnitude which was 2, then I divided the vector <-2,2> so it'll be a unit vector.

My answer was <-1,1> but I'm wrong.
 
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You're pretty close

Magnitude = sqrt(deltaX^2 + deltaX^2) <> 2

And you want the vector going in the direction that would get you from a to b. So you want to subtract b-a to get the direction
 
margaret37 said:
You're pretty close

Magnitude = sqrt(deltaX^2 + deltaX^2) <> 2

And you want the vector going in the direction that would get you from a to b. So you want to subtract b-a to get the direction

Ahah, Thank you

Sometimes my mind keeps flipping numbers around and the strange thing is I repeat the same mistakes over and over its like a disease or something haha.

Thanks,

Ray
 

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