MathCastle
Multivariable CalculusMediumVectors in Space

Vectors in Space · Medium problem

A constant force F=(2,−3,1)\mathbf F = (2, -3, 1) newtons acts on an object as it moves in a straight line from (0,0,0)(0,0,0) to (3,1,0)(3,1,0), and then in a straight line from (3,1,0)(3,1,0) to (3,4,2)(3,4,2), with distances in metres. Find the total work done by F\mathbf F over the whole trip.