Question: Suppose that the three coordinate planes bounding the first octant are mirrors. A light ray with direction ai + bj + ck is reflected successively

Suppose that the three coordinate planes bounding the first octant are mirrors. A light ray with direction ai + bj + ck is reflected successively from the xy-plane, the xz-plane, and the yz-plane. Determine the direction of the ray after each reflection, and state a nice conclusion concerning the final reflected ray.

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