imo class 12 vector algebra

Two oxen are pulling a cart in an Indian farm. One pulls with a force F₁ = 10î + 5ĵ N, and the other pulls with F₂ = 5î − 5ĵ N. What is the resultant force on the cart?

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Two oxen are pulling a cart in an Indian farm. One pulls with a force F₁ = 10î + 5ĵ N, and the other pulls with F₂ = 5î − 5ĵ N. What is the resultant force on the cart?

  • A. 15î N
  • B. 10î + 10ĵ N
  • C. 5î + 10ĵ N
  • D. 15î + 10ĵ N

Answer: A) 15î N

Explanation: Resultant Force F = F₁ + F₂ = (10î + 5ĵ) + (5î − 5ĵ) = 15î N. The forces in the j direction cancel out.

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