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The work done in moving an object along a vector \(\widehat d = 3\widehat i + 2\widehat j - 5\widehat k\) (if the applied force is \(\overrightarrow F = 2\widehat i - \widehat j - \widehat k\)) is
1. 12 units
2. 11 units
3. 10 units
4. 9 units

1 Answer

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Best answer
Correct Answer - Option 4 : 9 units

Concept:

We know that, work done, \(\left( W \right) = \vec F \cdot \vec d\)        ---(1)

Calculation:

Given, \(d= 3\hat i + 2 \hat j-5 \hat k{\:}and {\:} \vec F = 2\hat i - \hat j - \hat k\)

Using equation (1)

\(w=\left( 2\hat i - \hat j - \hat k\right)\cdot\left(3\hat i+1\hat j-5 \hat k\right)\)

= 6 – 2 + 5

= 11 – 2 = 9 units

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