Let x and y be elements of R3, and let z be the vector in R3 whose

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Let x and y be elements of R3, and let z be the vector in R3 whose coordinates are defined by
Let x and y be elements of R3, and let

Let
X = (x, x, y)T and Y = (x, y, y)T
Show that
xTz = det(X) = 0 and yTz = det(Y) = 0

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