A→=2i^+5j^,B→=5j^−k^ and C→=6i^−2k^.Value of A→−2B→+3C→

A→−2B→+3C→=2i^+5j^−10j^+2k^+18i^−6k^=20i^−5j^−4k^

A→=2i^+5j^,B→=5j^−k^ and C→=6i^−2k^.Value of A→−2B→+3C→

A→−2B→+3C→=2i^+5j^−10j^+2k^+18i^−6k^=20i^−5j^−4k^

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$\vec{A} = 2 \hat{i} + 5 \hat{j}, \vec{B} = 5 \hat{j} - \hat{k} and \vec{C} = 6 \hat{i} - 2 \hat{k} .Value of \vec{A} - 2 \vec{B} + 3 \vec{C}$

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$20 \hat{i} + 5 \hat{j} + 4 \hat{k}$

$20 \hat{i} - 5 \hat{j} - 4 \hat{k}$

$4 \hat{i} + 5 \hat{j} + 20 \hat{k}$

$5 \hat{i} + 4 \hat{j} + 10 \hat{k}$

answer is B.

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$\begin{matrix} \vec{A} - 2 \vec{B} + 3 \vec{C} = 2 \hat{i} + 5 \hat{j} - 10 \hat{j} + 2 \hat{k} + 18 \hat{i} - 6 \hat{k} \\ = 20 \hat{i} - 5 \hat{j} - 4 \hat{k} \end{matrix}$

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A→=2i^+5j^,B→=5j^−k^ and C→=6i^−2k^.Value of A→−2B→+3C→

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$\vec{A} = 2 \hat{i} + 5 \hat{j}, \vec{B} = 5 \hat{j} - \hat{k} and \vec{C} = 6 \hat{i} - 2 \hat{k} .Value of \vec{A} - 2 \vec{B} + 3 \vec{C}$