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

In the following question, correct the equation by interchanging two signs.9 x 3 + 8 ÷ 4 - 7 = 28

Correct answer: D. x and ÷

  • A. x and -
  • B. + and -
  • C. ÷ and +
  • D. x and ÷
  • E. None of these

Explanation

To solve the problem, we need to interchange two mathematical signs to make the equation correct. Testing each option:Option A: Interchanging 'x' and '-' results in: 9 - 3 + 8 ÷ 4 x 7 = 20, which is not 28.Option B: Interchanging '+' and '-' results in: 9 x 3 - 8 ÷ 4 + 7 = 32, which is not 28.Option C: Interchanging '÷' and '+' results in: 9 x 3 ÷ 8 + 4 - 7 = 0.375, which is not 28.Option D: Interchanging 'x' and '÷' results in: 9 ÷ 3 + 8 x 4 - 7 = 28, which matches the equation.Thus, the correct answer is Option D, where interchanging 'x' and '÷' makes the equation valid.

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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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