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

Respuesta :

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

Otras preguntas

If B=w +9w- and A=3- 10w, find an expression that equals B - A in standard form.
The fact that a former british prime minister expressed the ideas in the excerpt to an audience in the united states helped promote which of the following?
Why is having your life figured out in your twenties overrated?
Figure out the next question
please answer this quick just the option
explain how DNA replication differs from transcription in three ways​
the height in feet of a dolphin as it jumps out of the water at an aquarium show can be modeled by the function f(x)=-16x^2+32x where x is the time is seconds a
3. Mac made a display for the school library. He used seven sheets of poster board for the display, each sheet cost $3.25. How much did the sheets cost him?​
What does it mean if i keep sneezing but have absolutely no allergies at all? And i'm not around dust or any pets rn too
Answer the question and no FAKE ANSWERS or copying people