SOLUTION: Dear sir, i got stuck on this, can you pls help me "Force F = 2i � 5j + 3k displaces a particle from A to B. Position vectors of A and B are, A = i + 2j + 3k and B = 3i + 5j +

Question 397774: Dear sir, i got stuck on this, can you pls help me
"Force F = 2i � 5j + 3k displaces a particle from A to B. Position vectors of A and B are, A = i + 2j + 3k and B = 3i + 5j + 8k. Find the work done by the force on the object.
a)6 units
b)4 units
c)10 units
d)12 units"
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The displacement vector is A +B = i + 2j + 3k + 3i + 5j + 8k = 4i + 7j + 11k.
The work is the dot product of the force vector and the displacement vector:
F*(A + B) = ( 2i � 5j + 3k)*(4i + 7j + 11k) = 8 - 35 + 33 = 6 units.
The answer is a.
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