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A vector perpendicular to both the vectors $2 \hat{i} - \hat{j} + 5 \hat{k}$ and X-axis is

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j^+5j^

j^-5k^

5j^+k^

i^+j^+k^

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detailed solution

Correct option is C

Cross product of two perpendicular vector should be zero.i^j^k^2-15100=-(0-5)j^+(1)k^=5j^+k^The vector perpendicular to both vectors is 5j^+k^

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A vector perpendicular to both the vectors 2i^-j^+5k^ and X-axis is

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A vector perpendicular to both the vectors $2 \hat{i} - \hat{j} + 5 \hat{k}$ and X-axis is