nehaap92
nehaap92 nehaap92
  • 14-03-2017
  • Mathematics
contestada

find the work done in moving an object along a vector r=3i+2j-5k if the applied force is F=2i-j-k

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LammettHash
LammettHash LammettHash
  • 14-03-2017
The work is equivalent to the dot product of the two vectors.

[tex]W=\mathbf F\cdot\mathbf r=\langle2,-1,-1\rangle\cdot\langle3,2,-5\rangle=6-2+5=9[/tex]
Answer Link
zohazoee
zohazoee zohazoee
  • 16-02-2020

Answer:

[tex]W=9[/tex]

Step-by-step explanation:

applying the following formula

[tex]W=r.f[/tex]

here the dot indicates the dot product

then

[tex]W=(3i+2j-5k).(2i-j-k)[/tex]

taking dot product

[tex]W=3.2+2.(-1)+(-5).(-1)[/tex]

[tex]W=6-2+5[/tex]

[tex]W=9[/tex]

Answer Link

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