IIT JAM Follow
June 27, 2020 10:16 am 30 pts
Problem 1.14 Suppose that f is a function of two variables (y and z) only. Show that the gradient Vf = (af/0y)ý +(0f/8z)2 transforms as a vector un- der rotations, Eq. 1.29. [Hint: (af/8y) = (8f/8y)(8y/8y) + (0f/az)(8z/0y), and the analogous formula for df/8z. We know that y= y cos o+ z sin ộ and Z=-y sino+zcos p; "solve" these equations for y and z (as functions of y and Z), and compute the needed derivatives 3y/8y, 3z/0y, ctc.]
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• Ghost.
Statement of Question- del(f) is a vector quantity so you have to prove it transform in a similar manners as a normal vector when axis are rotated by certain angle. i.e if del(f) i...
got ur point
• Ghost.
here i have attached the file, you can write the transformation into matrix form as well and operate on components of function.
thank you very much
• Ruby negi
y bar and z bar
what does y bar represent
• Ruby negi
see ....
also please explain that what does question says
see this solution.. for any help do let me know...