 The old coordinates ("x", "y", "z") of a point "Q" are related to its new coordinates ("x'", "y'", "z'") by

Generalizing to any finite number of dimensions, a rotation matrix formula_28 is an orthogonal matrix that differs from the identity matrix in at most four elements.These four elements are of the form

for some formula_1 and some "i" ≠ "j".Find the coordinates of the point formula_32 after the positive "w" axis has been rotated through the angle formula_33, or 15°, into the positive "z" axis.