Question #bf5bf

1 Answer
Mar 7, 2014

Work is not related to direction, because it is a scalar quantity.

THE CHEMISTRY ANSWER:

Work is part of the energy of a system. Energy has size but no direction. It is a scalar quantity, so work is also a scalar quantity. Work is not related to direction.

THE MATHEMATICS ANSWER

Work is the dot product of force and displacement, both of which are vectors.

#w = F⃗⋅S⃗ =∥F∥∥S∥cosθ#

where #∥F∥# and #∥S∥# are the magnitudes of the vectors #F⃗# and #S⃗# and #θ# is the angle between them. The dot product of two vectors is a scalar quantity. It has size but no direction.