A particle is acted on by constant forces =-3i+2j+5k and 2i+j+-3k and is displaced from point (2,-1,-3) to the point (4,-3,7).Find the total work done by the forces?

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Answer 1 · 2018-02-18T17:33:36

see below

The total work done by a force #vecF#through a displacement #vecd#

#WD=vecF*vecd#

using the column form for vectors

the total force is

#vecF=sumvecF_i=((-3),(2),(5))+((2),(1),(-3))=((-1),(3),(2))#

displacement #vecd=((4),(-3),(7))-((2),(-1),(-3))=((2),(-2),(10))#

#:.WD=((-1),(3),(2))*((2),(-2),(10))#

#=-1xx2+3xx-2+2xx10#

#WD=-2-6+20=12J#