The component of force vector F1 = 2i^ + 2j^ along force vector F2 = 3j^ + 4k^ is?
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Explanation:
F₁ = 2i + 2j
F₂ = 3j + 4k
∴ Formula Required for this question is :-
F₁ . F₂ = F₁ F₂ cos∅
∴ Component of F₁ along F₂ = F₁ cos∅
∴ F₁ cos∅ = ( F₁ . F₂ ) / F₂
∴ F₁ cos∅ = ( 2×0 + 2×3 + 0×4 ) / ( √(3² + 4²) )
= 6 / 5
∴ Component of F₁ along F₂ = 6 / 5
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Adarsh sacha
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