Answers by visitors named: Damon dot product
direction of force = 5 i - 3 j
make that a unit vector
sqrt (25 + 9) = sqrt (34)
so Force vector F = (5/sqrt34)(5i-3j)
direction of motion vector = 7 i -10 j
make that a unit vector
sqrt(49 + 100) = sqrt(149)
so motion vector
D = (12/sqrt149) (7i-10 j)
Work = F dot D = (5/sqrt34)(12/sqrt149)(35+30)
=.843(65) = 54.8 foot pounds