Let \overrightarrow{{a}}=\stackrel{\^}{{j}}-{{k^{\^}}} and \overrightarrow{{c}}=\stackrel{\^}{{i}}-\stackrel{\^}{{j}}-\stackrel{\^}{{k}}. Then the vector \overrightarrow{{b}} satisfying (\overrightarrow{{a}} \\times\overrightarrow{{b}})+\overrightarrow{{c}}=0 and \overrightarrow{{a}} \.\overrightarrow{{b}}=3, is

Correct Answer is : −^i+^j−2^k

-\stackrel{\^}{{i}}+\stackrel{\^}{{j}}-2 {{k^{\^}}}

2 \stackrel{\^}{{i}}-\stackrel{\^}{{j}}+2 \stackrel{\^}{{k}}

-\stackrel{\^}{{i}}-\stackrel{\^}{{j}}-2 {{k^{\^}}}

\stackrel{\^}{{i}}+\stackrel{\^}{{j}}-2 {{k^{\^}}}

UPSC NDA Math Model Paper 7

Question : 87 of 120

Marks: +1, -0

Let

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−

and

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−

. Then the vector

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satisfying (

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=0 and

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=3, is

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