Primitive root modulo
Prove that if p is a prime such that p = 1 mod 3, r is the primitive root modulo p, and a = r^(p-1)/3, then 1, a, a^2 give solutions to x^3= 1 mod p which are distinct modulo p.
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Compute the equation of the plane which haves the point (2, -2, 1) and is perpendicular to the line with the parametric equations x = t -1, y = 3t + 2, z = t+1. Determine the parametric equations for the line in R3 that contains the points (1, 1, -
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