A mirror and a source of light are situated at the origin and at a point on

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

A mirror and a source of light are situated at the origin OO and at a point on OXOX , respectively. A ray of light from the source strikes the mirror and is reflected. If the direction ratios of the normal to the plane are proportional to 1,−1,11, -1, 1 , then direction cosines of the reflected ray are (1) 13,23,23\frac{1}{3}, \frac{2}{3}, \frac{2}{3} (2) −13,23,23-\frac{1}{3}, \frac{2}{3}, \frac{2}{3} (3) −13,−23,−23-\frac{1}{3}, -\frac{2}{3}, -\frac{2}{3} (4) −13,−23,23-\frac{1}{3}, -\frac{2}{3}, \frac{2}{3}

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