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

Addition, subtraction and multiplication of scalars is done by:

Correct answer: B. Simple arithmetical rules

  • A. Algebraic principles
  • B. Simple arithmetical rules
  • C. Logical methods
  • D. Vector algebra

Explanation

Addition, subtraction, and multiplication of scalars are done using the ordinary arithmetic rules of real numbers. Scalars are simply single numbers (not vectors or matrices), so the operations are straightforward:Addition of scalars:a+bwhere a and b are scalars.Subtraction of scalars:a−bMultiplication of scalars:a×b or ab

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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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