Asked in Premeth — Coordination and Control, Vectors and Equilibrium

Two vectors having different magnitudes:

Correct answer: C. Cannot have their resultant zero

  • A. Have their direction opposite
  • B. May have their resultant zero
  • C. Cannot have their resultant zero
  • D. None of the above

Explanation

The correct answer is (c) Cannot have their resultant zero. When two vectors have different magnitudes, their resultant will not be zero, regardless of their directions. If two vectors have the same magnitude and are in opposite directions, their resultant will be zero. Therefore, options (a) and (b) are incorrect. Option (d) is also incorrect because the correct answer is (c).

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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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