imo class 12 vector algebra

A shop board is hung using two strings. The tension in the strings are T₁ = 2î + 3ĵ and T₂ = −2î + 4ĵ. The total upward pull supporting the weight of the board is:

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A shop board is hung using two strings. The tension in the strings are T₁ = 2î + 3ĵ and T₂ = −2î + 4ĵ. The total upward pull supporting the weight of the board is:

  • A. 7ĵ
  • B. 4î + 7ĵ
  • C.
  • D. 7î

Answer: A) 7ĵ

Explanation: Total upward force = T₁ + T₂ = (2î + 3ĵ) + (−2î + 4ĵ) = 0î + 7ĵ = 7ĵ.

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