Description of the elements in the equivalence class
Illustrate a relation ~ on the set of intergers Z as m ~ n if and only if m^2 + n^2 is even.
a) Show that ~ is an equivalence relation
b) Provide a complete description of the elements in the equivalence class
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Determine an equation of the line that contains the point (5, -3, 1) and that is orthogonal to the plane 2x+y-4z=5 (show every step)
Given the equation of plane and the parametric equations of line, discuss how you can find whether or not they are parallel.
Determine the parametric equations of the lin parallel to the line of intersection of th two places, x+2y-z =4 and x-y+3z=6 and passes through the point (2,-3,5) ( show each step)
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Show that ~ is an equivalence relation. Provide a complete description of the elements in the equivalence class
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Illustrate and provide an example of a cyclic group. Provide and example of a group that is not cyclic.
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