Are work and force both represented by vectors?

Question

darkbluechocobo · Answer

I know force is

darkbluechocobo · Answer

@amistre64

amistre64 · Answer

how do we define work?

darkbluechocobo · Answer

W=Fd

amistre64 · Answer

so a vector, times a scalar is a what?

irishboy123 · Answer

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

amistre64 · Answer

i spose we should have defined "d" as well

darkbluechocobo · Answer

scalar times a vector = a vector?

amistre64 · Answer

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

darkbluechocobo · Answer

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

amistre64 · Answer

not the sum, the inner prouct (dot product)

amistre64 · Answer

darkbluechocobo · Answer

Alright thank you both :)

amistre64 · Answer

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

darkbluechocobo · Answer

Thats what i thought as well