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Question: Answered & Verified by Expert
If the projections of a straight line segment on the coordinate axes are $2,3,6$, then the length of the segment is
MathematicsThree Dimensional GeometryNDANDA 2013 (Phase 2)
Options:
  • A 5 units
  • B 7 units
  • C 11 units
  • D 49 units
Solution:
2780 Upvotes Verified Answer
The correct answer is: 7 units
Position vector of line segment $=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+6 \hat{\mathrm{k}}$
length $=\sqrt{2^{2}+3^{2}+6^{2}}=\sqrt{49}=7$ units

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