What is {arrow}{b} equal to ? [NDA I 2023]

Correct Answer is : 5i^+2j^+2k^5{i}+2{j}+2{k}5i^+2j^+2k^

Correct Answer is : 5i^+2j^+2k^5{i}+2{j}+2{k}5i^+2j^+2k^

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UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :

Let

\vec{a}=3\hat{i}+3\hat{j}+3\hat{k}

and

\vec{c}=\hat{j}-\hat{k}

. Let

\vec{b}

be such that

\vec{a}\cdot\vec{b}=27

and

\vec{a}\times\vec{b}=\overrightarrow{9c}

[NDA I 2023]

Question : 65 of 120

Marks: +1, -0

What is

\overset{\rightarrow}{b}

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