Homework 1 (PHYS 301) - UBC Physics 301 2016 Homework...

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UBC Physics 301 2016 Homework Assignment 1 Due at class time September 16, 2016 1. a) Show that (x)is the volume of the parallelpiped whose edgesare ,,, when the vectors start from the same point.b) Show that (x)-(x).2. The vector points from P'(x',y',z2') to P(x,y,z).ˆa) Show that if P is fixed and P' is allowed to move, then '(1/r)=ˆ) Show that, if P' is fixed and P is allowed to move, then (1/r)=-rrrbrbA BCA B CA CBA BCr
..3. a) Show that 3.rof through a spherical surface of radius a?4. A vector has the same magnitude and direction at all points in space. Chooseˆˆthe z-axis parallel to . Then, in Cartesian coordinates, =Fz, where rFunit vector in the z direction. Express in spherical coordinates.) What is the fluxrrrbrb
rof through a spherical surface of radius a?4. A vector has the same magnitude and direction at all points in space. Chooseˆˆthe z-axis parallel to . Then, in Cartesian coordinates, =Fz, where rFunit vector in the z direction. Express in spherical coordinates.FF3z is theunit vector in the z direction. Express in spherical coordinates.ˆ5. A force is of the form ()in spherical coordinates, where is a constant.

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