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

Correct option is 1173i^+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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173i^+6j^−2k^

173i^+6j^+2k^

1493i^+6j^−2k^

1493i^−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