How is the scalar product of vectors related to work?

1 Answer
Jul 29, 2015

Answer:

Work done defined as the scalar product of the two vectors force and displacement.

Explanation:

If a force #vecF# acts on a body and displaces it through #vecr# and the angle between the two vectors be #theta#. The work done by the force is given as,

#W = vecF*vecr#
#implies W = FrCos theta#, where #F# and #r# are the magnitudes of #vecF# and #vecr# respectively.