A unit vector perpendicular to each of the vectors 2i^{⋀}-j^{⋀}+k^{⋀} and 3i^{⋀}-4j^{⋀}-k^{⋀} is [NDA II 2018]

Correct Answer is : 1√3⋀i−1√3⋀j−1√3⋀k

1/\sqrt3i^{⋀}+1/\sqrt3j^{⋀}-1/\sqrt3k^{⋀}

1/\sqrt2i^{⋀}+1/2j^{⋀}+1/2k^{⋀}

1/\sqrt3i^{⋀}-1/\sqrt3j^{⋀}-1/\sqrt3k^{⋀}

1/\sqrt3i^{⋀}+1/\sqrt3j^{⋀}+1/\sqrt3k^{⋀}

UPSC NDA II 2018 Mathematics Solved Paper

Question : 65 of 120

Marks: +1, -0

A unit vector perpendicular to each of the vectors 2

⋀

−

⋀

and 3

⋀

−4

⋀

−

⋀

[NDA II 2018]

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