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Mathematics 22 Online
OpenStudy (darkbluechocobo):

Are work and force both represented by vectors?

OpenStudy (darkbluechocobo):

I know force is

OpenStudy (darkbluechocobo):

@amistre64

OpenStudy (amistre64):

how do we define work?

OpenStudy (darkbluechocobo):

W=Fd

OpenStudy (amistre64):

so a vector, times a scalar is a what?

OpenStudy (irishboy123):

work is a scalar in vector terms, it is the dot product of force and displacement, both vectors\[W = \vec F \bullet \vec x\]

OpenStudy (amistre64):

i spose we should have defined "d" as well

OpenStudy (darkbluechocobo):

scalar times a vector = a vector?

OpenStudy (amistre64):

yeah, google says F adn d are vectors, Irish has it

OpenStudy (darkbluechocobo):

So work is the sum of the two vectors? It individually is not?

OpenStudy (amistre64):

not the sum, the inner prouct (dot product)

OpenStudy (darkbluechocobo):

Alright thank you both :)

OpenStudy (amistre64):

its confusing when we first see the Work formula since d is often defined as distance, instead of displacement.

OpenStudy (darkbluechocobo):

Thats what i thought as well

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