Let Q(x) = - 6x, + 2x5 + 8x1X2 - 8x2X3. Find a unit vector x in R' at which Q(x) is maximized, subject to x'x= 1. [Hint: The eigenvalues of the matrix of the quadratic form Q are 6, - 2, - 8.] A unit vector that maximizes Q(x) is u = (Type an exact answer, using radicals as needed.)

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