A→ $$=$$ $$2i^+j^$$, B $$=$$ $$3j^$$−$$k^$$ and C→ $$=$$ $$6i^$$−$$2k^$$. Value of A→−$$2B$$→$$+3C$$→ would be

Correct option is 220i^ −5j^ −4k^

Questions

$\vec{A} = 2 \hat{i} + \hat{j}, B = 3 \hat{j} - \hat{k} and \vec{C} = 6 \hat{i} - 2 \hat{k} . Value of \vec{A} - 2 \vec{B} + 3 \vec{C}$ would be

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20i^ +5j^ +4k^

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detailed solution

Correct option is B

A→−2B→ +3C→ = (2i^+j^)−2(3j^−k^)+3(6i^−2k^)= 2i^+j^−6j^+2k^+18i^−6k^= 20i^−5j^−4k^

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A→ = 2i^+j^, B = 3j^−k^ and C→ = 6i^−2k^. Value of A→−2B→+3C→ would be

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$\vec{A} = 2 \hat{i} + \hat{j}, B = 3 \hat{j} - \hat{k} and \vec{C} = 6 \hat{i} - 2 \hat{k} . Value of \vec{A} - 2 \vec{B} + 3 \vec{C}$ would be