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Mathematics 23 Online
OpenStudy (anonymous):

Let u = <-4, -3>. Find the unit vector in the direction of u, and write your answer in component form.

OpenStudy (asnaseer):

what do you about unit vectors - what is it that makes a unit vector what it is?

OpenStudy (cwrw238):

unit vector = u / mod u

OpenStudy (anonymous):

Sorry bout going away. But im not sure. I understand what to do when you have the initial point and the terminal point but i dont get what to do from here

OpenStudy (anonymous):

@cwrw238

OpenStudy (asnaseer):

what is the length of a unit vector?

OpenStudy (anonymous):

Do you mean as in the magnitude?

OpenStudy (asnaseer):

yes

OpenStudy (anonymous):

Well the formula for it is the Distance formula?

OpenStudy (cwrw238):

yes by mod i meant magnitude

OpenStudy (asnaseer):

a unit vector is defined as a vector with length (i.e. magnitude) of 1

OpenStudy (asnaseer):

what is the magnitude of the vector u given to you in this question?

OpenStudy (anonymous):

5?

OpenStudy (asnaseer):

correct

OpenStudy (asnaseer):

so, if you divide your vector u by its magnitude, then you should end up with a unit vector in the same direction as u - understand?

OpenStudy (anonymous):

Sort of. So what you would do is -4/5 and -3/5?

OpenStudy (asnaseer):

correct

OpenStudy (anonymous):

Okay because that is one of my answers so would that be the final answer?

OpenStudy (anonymous):

And do you mind just checking my work on another one i wasnt so sure about?

OpenStudy (asnaseer):

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