An object moves along a straight line path from P to Q under the action of a force (4i^−3j^+3k^) N. If the coordinates of P and Q, in meters, are (3,3,−1) and (2,−1,4) respectively, then the work done by the force is

(PQ→)=r→=(2−3)i^+(−1−3)j^+(4+1)k^ =−1i^−4j^+5k^ Work done =F→.r→ =(4i^−3j^+3k^).(−1i^−4j^+5k^) =−4+12+15=23 J

An object moves along a straight line path from P to Q under the action of a force (4i^−3j^+3k^) N. If the coordinates of P and Q, in meters, are (3,3,−1) and (2,−1,4) respectively, then the work done by the force is

(PQ→)=r→=(2−3)i^+(−1−3)j^+(4+1)k^ =−1i^−4j^+5k^ Work done =F→.r→ =(4i^−3j^+3k^).(−1i^−4j^+5k^) =−4+12+15=23 J

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An object moves along a straight line path from P to Q under the action of a force $(4 \hat{i} - 3 \hat{j} + 3 \hat{k})$ N. If the coordinates of P and Q, in meters, are $(3, 3, - 1)$ and $(2, - 1, 4)$ respectively, then the work done by the force is

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+ 23 J

$- 23 J$

1015 J

$\sqrt{35} (4 \hat{i} - 3 \hat{j} + 2 \hat{k}) J$

answer is A.

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$(\vec{P Q}) = \vec{r} = (2 - 3) \hat{i} + (- 1 - 3) \hat{j} + (4 + 1) \hat{k}$

$= - 1 \hat{i} - 4 \hat{j} + 5 \hat{k}$

Work done $= \vec{F} . \vec{r}$

$= (4 \hat{i} - 3 \hat{j} + 3 \hat{k}) . (- 1 \hat{i} - 4 \hat{j} + 5 \hat{k})$

$= - 4 + 12 + 15 = 23 J$

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An object moves along a straight line path from P to Q under the action of a force (4i^−3j^+3k^) N. If the coordinates of P and Q, in meters, are (3,3,−1) and (2,−1,4) respectively, then the work done by the force is

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An object moves along a straight line path from P to Q under the action of a force $(4 \hat{i} - 3 \hat{j} + 3 \hat{k})$ N. If the coordinates of P and Q, in meters, are $(3, 3, - 1)$ and $(2, - 1, 4)$ respectively, then the work done by the force is