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Turbodog66
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Homework Statement
The force on an object is F = -11j. For the vector v =-i-5j, find:
1. The component of F parallel to v
2. The component of F perpendicular to v
3. The work, W, done by force F through displacement v
Homework Equations
ProjvF = v dot F/ |v|2
OrthvF = F - ProjvF
W = D dot F
The Attempt at a Solution
F = < 0, -11> v = < -1, -5>
1.
ProjvF = -1(0) + -5(-11) / 12 + -52 = 55/26<-1, -5>
ProjvF = <-2.115, -10.576>
2.
OrthvF = < 0, -11> - <-2.115, -10.576> = 0 + 2.115 , -11 +10.576 = <2.115, -0.424>
OrthvF = <2.115, -0.424>
3.
W = <2.115, -0.424> dot < 0, -11> = 2.115(0) + -0.424(-11) = 4.664
W = 4.664I am told that step 1 is correct, and the first value in step 2 is correct. I cannot figure out what I am missing on part 2, which is ultimately messing up step 3. Any help would be appreciated.