If \overrightarrow{a}=(2,1,-1), \overrightarrow{b}=(1,-1,0), \overrightarrow{c}=(5,-1,1), then what is the unit vector parallel to \overrightarrow{a}+\overrightarrow{b}-\overrightarrow{c} in the opposite direction?

Correct Answer is : 2∧i−∧j+2∧k3

\hat{{i}+\hat{j}-2 \hat{k}}/{3}

\hat{{i}-2 \hat{j}+2 \hat{k}}/{3}

\hat{2 {i}-\hat{j}+2 \hat{k}}/{3}

UPSC NDA I 2012 Mathematics Paper

Question : 91 of 120

Marks: +1, -0

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=(2,1,−1),

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=(1,−1,0),

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=(5,−1,1), then what is the unit vector parallel to

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−

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in the opposite direction?

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