What is a vector of unit length orthogonal to both the vectors i^{∧}+j^{∧}+k^{∧} and 2i^{∧}+3j^{∧}-k^{∧} [NDA I 2016]

Correct Answer is : −4∧i+3∧j+∧k√26

{-4i^{∧}+3j^{∧}-k^{∧}}/\sqrt26

{-4i^{∧}+3j^{∧}+k^{∧}}/\sqrt26

{-3i^{∧}+2j^{∧}-k^{∧}}/\sqrt14

{-3i^{∧}+2j^{∧}+k^{∧}}/\sqrt14

NDA Math Vector Algebra

Question : 67 of 101

Marks: +1, -0

What is a vector of unit length orthogonal to both the vectors

∧

and 2

∧

−

∧

[NDA I 2016]

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