physicscatalyst.com logo




Motion in three dimensions




8. Motion in three dimensions

  • We have already studied physical quantities like displacement ,velocity,acceleration etc in one and two dimension
  • In this topic ,we will generalize our previous knowledge of motion in 1 and 2 -dimension to three dimension's
  • As we have used vectors to represent motion in a plane,we can freely use vectors and its properties in 3-dimension as we have done in case of motion in a plane
  • In three dimensions ,we have three units vectors i ,j and k associated with each co-ordinate axis of Cartesian co-ordinates system shown below in the figure


    Motion in three dimensions

  • Consider a particle moving in 3-D space .Let P be its position at any point t.Position vector of this particle at point P would be
    r=xi+yj+zk
    Where x,y and z are co-ordinates of point P
  • Similarly velocity and acceleration vectors of particle moving in 3-D space are
    v=vxi+vyj+vzk where vx=dx/dt,vy=dy/dt and vz=dz/dt
    and
    a=vxi+ayj+azk
    where ax=dvx/dt,ay=dvy/dt and az=dvz/dt
  • All the relations we have derived in case of motion in plane are valid for 3-D motion with one added co-ordinate



link to this page by copying the following text


Class 11 Maths Class 11 Physics Class 11 Chemistry





Note to our visitors :-

Thanks for visiting our website. From feedback of our visitors we came to know that sometimes you are not able to see the answers given under "Answers" tab below questions. This might happen sometimes as we use javascript there. So you can view answers where they are available by reloding the page and letting it reload properly by waiting few more seconds before clicking the button.
We really do hope that this resolve the issue. If you still hare facing problems then feel free to contact us using feedback button or contact us directly by sending is an email at [email protected]
We are aware that our users want answers to all the questions in the website. Since ours is more or less a one man army we are working towards providing answers to questions available at our website.