When two equal and opposite vectors are added, then their resultant will have:
Correct answer: C. Zero magnitude
- A. Same magnitude
- B. Double magnitude
- C. Zero magnitude
- D. Half magnitude
Explanation
C is the correct answer. When two equal and opposite vectors are added, the magnitudes subtract, resulting in a vector with zero magnitude. Mathematically, if A and B are equal and opposite vectors, then A+B=0.
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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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