A line segment of length 15 units lies on a line with direction ratios 2, −1, 2. Find the projections of this segment on the coordinate axes. A. 10, −5, 10 B. 2, −1, 2 C. 5, −5/2, 5 D. 10, 5, 10 Answer: A) 10, −5, 10 Explanation: Magnitude of DRs = √(4+1+4) = 3. DCs are 2/3, −1/3, 2/3. Projections of a segment of length L are Ll, Lm, Ln. 15(2/3) = 10, 15(−1/3) = −5, 15(2/3) = 10.

imo class 12 three dimensional geometry

A line segment of length 15 units lies on a line with direction ratios 2, −1, 2. Find the projections of this segment on the coordinate axes.

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A line segment of length 15 units lies on a line with direction ratios 2, −1, 2. Find the projections of this segment on the coordinate axes.

A. 10, −5, 10
B. 2, −1, 2
C. 5, −5/2, 5
D. 10, 5, 10

Answer: A) 10, −5, 10

Explanation: Magnitude of DRs = √(4+1+4) = 3. DCs are 2/3, −1/3, 2/3. Projections of a segment of length L are Ll, Lm, Ln. 15(2/3) = 10, 15*(−1/3) = −5, 15*(2/3) = 10.

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