Moderate -0.8 This is a straightforward application of the work formula W = F·s, requiring only vector subtraction to find displacement and then a dot product calculation. It's a routine mechanics question with no problem-solving insight needed, making it easier than average but not trivial since it involves 3D vectors and multiple computational steps.
A particle moves from the point \(A\) with position vector \((3i - j + 3k)\) m to the point \(B\) with position vector \((i - 2j - 4k)\) m under the action of the force \((2i - 3j - k)\) N. Find the work done by the force.
[4]
A particle moves from the point $A$ with position vector $(3i - j + 3k)$ m to the point $B$ with position vector $(i - 2j - 4k)$ m under the action of the force $(2i - 3j - k)$ N. Find the work done by the force.
[4]
\hfill \mbox{\textit{Edexcel M5 Q1 [4]}}