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What is the unit vector perpendicular to the following vectors $2 \hat{i} + 2 \hat{j} - \hat{k} and 6 \hat{i} - 3 \hat{j} + 2 \hat{k} ?$

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i^ +10j^ −18k^517

i^ −10j^ +18k^517

i^ −10j^ −18k^517

i^ +10j^ +18k^517

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detailed solution

Correct option is C

A→ = 2i^ +2j^−k^ and B→ = 6i^−3j^+2k^C→ = A→ ×B→ = (2i^ +2j^−k^) ×( 6i^−3j^+2k^)= i^j^k^22−16−32 = i^−10j^−18k^Unit vector perpendicular to both A→ and B→= i^−10j^−18k^12+102+182 = i^−10j^−18k^517

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What is the unit vector perpendicular to the following vectors 2i^ +2j^−k^ and 6i^ −3j^+2k^ ?

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What is the unit vector perpendicular to the following vectors $2 \hat{i} + 2 \hat{j} - \hat{k} and 6 \hat{i} - 3 \hat{j} + 2 \hat{k} ?$