Home
Class 11
MATHS
Find the work done by the force F=3 ha...

Find the work done by the force `F=3 hat i- hat j-2 hat k` acting on a particle such that the particle is displaced from point `A(-3,-4,1) and B(-1,-1,-2)dot`

Text Solution

Verified by Experts

The correct Answer is:
9
Here `vecF = 3hati -hatj - 2hatk`
`vecAB = P.V of B - P.V. of A `
`( -hati - hatj - 2hatk) - (3hati - 4hatj + hatk) ]`
` 2hati + 3hatj -3hatk`
Let `vecs = vecAB` be the displacement vector Now work done = `vecF .vecs`
`(3hati - hati - 2hatk) . (2hati + 3hatj - hatk)` ltbrge 6-3 + 6 =9
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.1|18 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.2|15 Videos

  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|1255 Videos

  • LIMITS AND DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|288 Videos

Similar Questions

Explore conceptually related problems

The work done by the force bar(F)=hat(i)+hat(j)+hat(k) acting on a particle, if the particle is displaced from A(3,3,3) to the point B(4,4,4) is …………. units.

A particle acted on forces vec F_(1)= 3 hati -hat j+ 3 hat k and vecF_(2)= 2 hat i + 3 hat j - 4 hatk , is displaced from the point (3, -2, -1) to the point (1, 5,-2) . Find the total work done by the forces.

Constant forces P_1= hat i+ hat j+ hat k ,P_2= - hat i+2 hat j- hat ka n dP_3= - hat j- hat k act on a particle at a point Adot Determine the work done when particle is displaced from position A(4 hat i-3 hat j-2 hat k)toB(6 hat i+ hat j-3 hat k)dot

Find the angle between the vectors hat i - 2 hat j + 3 hat k and 3 hat i - 2 hat j + hat k .

Find the angle between the vectors vec a = 3 hat i + 4 hat j + hat k vec b = 2 hat i + 3 hat j - hat k .

Find the angle between the vectors vec a = 3 hat i +4 hat j + hat k and vec b = 2 hat i +3 hat j - hat k

Find vec a . vec b , When vec a = hat i + hat j - 2 hat k and vec b = 3 hat i +2 hat j + hat k

A uniform force of (3hat i + hat j) newtons acts on a particle of mass 2kg . Hence the particle is displaced from position (2 hat i+ hat k) meter to position (4hat i+ 3hatj-hatk) meter. The work done by the force on the particle is:

Find vec a . vec b , When vec a = hat i + hat j + 2 hat k and vec b = 3 hat i +2 hat j - hat k

Find vec a . vec b , When vec a = 2 hat i +2 hat j - hat k and vec b = 6 hat i -3 hat j +2 hat k