In R°, let L be the line spanned and oriented by v = (2, –1, -4), and let R the rotation of IR through the angle n/2 about the v oriented line L according to the Right Hand Rule. Further, let P: R³ → R³ be the orthogonal projection onto the orthogonal complement of the vector n = (V21 – 25, 6 - /21 + 2, –/21 – 13). Find the vector z which results from first rotating x= (-1, -6, 1) via R, and then projecting the rotated vector via P. z =

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