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Asked in Premeth Test 20 — Vectors and Equilibrium (physics)Moderate

The resultant of two or more vectors is obtained by:

Correct answer: A. Joining the tail of the first vector with the head of the last vector

  • A. Joining the tail of the first vector with the head of the last vector
  • B. Joining the head of the first vector with the tail of the last vector
  • C. Joining the tail of the last vector with the head of the first vector
  • D. Joining the head of the last vector with the tail of the first vector

Explanation

The head-to-tail method is used to find the resultant of vectors by sequentially connecting them so that the head of one vector is joined to the tail of the next. The resultant vector is then drawn from the tail of the first vector to the head of the last vector. This method accurately determines the magnitude and direction of the resultant vector. The other options provide incorrect ways of connecting vectors that do not align with the head-to-tail rule, leading to inaccurate results.

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About Vectors and Equilibrium

Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.

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