1. Use of the Einstein summation convention is a very efficient way to write aseries of equations in a compact form.a) What are the two essential components of the convention, as applied with a 3dimensional Cartesian frame of reference. Explain the Kroneker delta, ðj.b) Write the following 3 equations in compact form using the Einsteinconvention.XI= (a¡bı+a2bz+a3c3)yı + 5c1X2= (a¡bı+a2bz+a3c3)y2 + 5c2X3= (a¡bı+azbz+a;c:)y3 + 5c3c) Expand the (Navier-Stokes for a constant density fluid) equation below intoits component form for i = 1.du/ôt + uk ôu/ôxk = -(1/p)ôp/ôxi – gồi3 + (µ/p)ô²u;/(ôxmôxm)

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Answered: 1. Use of the Einstein summation…

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