A particle moves from position ${\vec r_1} = \,3\hat i + 2\hat j - 6\hat k$ to position ${\vec r_2} = 14\hat i + 13\hat j + 9\hat k$ under the action of force $4\hat i + \hat j + 3\hat k\,N.$ The work done will be ............ $\mathrm{J}$
A particle moves from position ${\vec r_1} = \,3\hat i + 2\hat j - 6\hat k$ to position ${\vec r_2} = 14\hat i + 13\hat j + 9\hat k$ under the action of force $4\hat i + \hat j + 3\hat k\,N.$ The work done will be ............ $\mathrm{J}$
$100$
$50$
$200$
$75$
A particle moves from position ${\vec r_1} = \,3\hat i + 2\hat j - 6\hat k$ to position ${\vec r_2} = 14\hat i + 13\hat j + 9\hat k$ under the action of force $4\hat i + \hat j + 3\hat k\,N.$ The work done will be ............ $\mathrm{J}$
$W = \overrightarrow F .(\overrightarrow {{r_2}} - \overrightarrow {{r_1}} ) = (4\hat i + \hat j + 3\hat k)(11\hat i + 11\hat j + 15\hat k)$
$W = 44 + 11 + 45 = 100\,Joule$
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