The unit vector parallel to the resultant of the vectors A→$$=4i^+3j^+6k^$$ and B→$$=$$−$$i^+3j^$$−$$8k^$$ is

Correct option is 117(3i^+6j^−2k^)

Questions

The unit vector parallel to the resultant of the vectors $\vec{A} = 4 \hat{i} + 3 \hat{j} + 6 \hat{k} and \vec{B} = - \hat{i} + 3 \hat{j} - 8 \hat{k}$ is

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17(3i^+6j^−2k^)

17(3i^+6j^+2k^)

149(3i^+6j^−2k^)

149(3i^−6j^+2k^)

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detailed solution

Correct option is A

Resultant of vectors A→ and B→R→=A→+B→=4i^+3j^+6k^−i^+3j^−8k^R→=3i^+6j^−2k^R^=R→|R→|=3i^+6j^−2k^32+62+(−2)2=3i^+6j^−2k^7

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The unit vector parallel to the resultant of the vectors A→=4i^+3j^+6k^ and B→=−i^+3j^−8k^ is

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The unit vector parallel to the resultant of the vectors $\vec{A} = 4 \hat{i} + 3 \hat{j} + 6 \hat{k} and \vec{B} = - \hat{i} + 3 \hat{j} - 8 \hat{k}$ is