Question:

A line segment has length 63 and direction ratios are 3,-2,6. If the line makes an obtuse angle with x-axis, the components of the line vector are

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Obtuse angle ⇒ negative component.
Updated On: Mar 17, 2026
  • 27,-18,54
  • -27,18,54
  • -27,18,-54
  • 27,-18,-54
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The Correct Option is B

Solution and Explanation

Magnitude of d.r.: √(3²+(-2)²+6²)=7 Scale factor =63/7=9. Obtuse with x-axis ⇒ x-component negative: (-27,18,54)
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