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Unit vector perpendicular to vector $A = - 3 \hat{i} - 2 \hat{j} - 3 \hat{k} and B = 2 \hat{i} + 4 \hat{j} + 6 \hat{k}$ both is

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3j^-2k^13

3k^-2j^13

-j^+2k^13

i^+3j^-k^13

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detailed solution

Correct option is A

Unit vector is given by n^=A×B|A×B| A×B=i^j^k^-3-2-3246=i^(-12+12)-j^(-18+6)+∣k^(-12+4)=12j^-8k^|A×B|=(12)2+(-8)2=208=413∴ n^=12j^-8k^413=3j^-2k^13

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Unit vector perpendicular to vector A=-3i^-2j^-3k^ and B=2i^+4j^+6k^ both is

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Unit vector perpendicular to vector $A = - 3 \hat{i} - 2 \hat{j} - 3 \hat{k} and B = 2 \hat{i} + 4 \hat{j} + 6 \hat{k}$ both is