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

  • Thread starter Thread starter graycolor
  • Start date Start date
  • Tags Tags
    Vector
graycolor
Messages
34
Reaction score
0
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.
 
Physics news on Phys.org
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
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top