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NDA2015MathematicsThree Dimensional GeometryActual

The projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What is the length of the line segment?

Options

A19 units
B17 units
C15 units
D13 units

Correct answer

D. 13 units

Step-by-step solution

The projection of a directed line segment on the co-ordinate axes are 12, 4, 3, respectively. Length of the line segment = 12^2+4^2+3^2 = 144+16+9 = 169 =13 unit Option (4) is correct.

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