Asked in Premeth — Coordination and Control, Vectors and EquilibriumModerate

What angle would it require to have for vectors of the same length to achieve a resultant of twice the amount in either.

Correct answer: B.

  • A. 30°
  • B.
  • C. 60°
  • D. 45°

Explanation

For two vectors of the same magnitude to have a resultant that is twice the magnitude of either vector, they must be in the same direction. This occurs when the angle between them is 0°, making them parallel. In this case, the vectors add directly to produce a resultant that is the sum of their magnitudes. Options A (30°), C (60°), and D (45°) are incorrect because at these angles, the resultant is less than twice the magnitude of either vector.

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About Addition of Vectors

Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.

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