What should be added in vector $3 i + 4 j - 2 k$ to get its resultant a unit vector $i .$

- 2 i - 4 j + 2 k

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2 i + 4 j + 2 k

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- 2 i + 4 j + 2 k

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None of these

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Solution

The correct option is A $- 2 i - 4 j + 2 k$
Let b should be added, then $a + b = i$
$i - a = i - (3 i + 4 j - 2 k) = - 2 i - 4 j + 2 k$

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