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

your teacher asks you to find a recipe that includes 2 ingredients with a rate of 2 units/3 units give an example of 2 ingredients
John Locke's ideas suggest that people were
In the compound KHSO4, there is an ionic bond between the KH+ and SO42– ions KHSO3+ and O2– ions K+ and HS– ions K+ and HSO4– ions
Which of these factors contributed most to US westward expansion in the second half of the nineteenth century?
The attendance at the school concert was 578. Admission was $2.00 for adults and $1.50 for students. The receipts were $985.00. How man adults and how man stude
how does a hypothesis become a theory
why did the stock market crash in 1929
What does a cell wall look like
Please help me :'( I have been stuck on this
What is the standard form of the equation? 3x = 2y – 4 A. 3x = 2y – 4 B. 3x – 2y = –4 C. 3x + 4 = 2y D. 3x – 2y + 4 = 0