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

Question

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

Infinity Learn · Accepted Answer

(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 $(4 \hat{i} - 3 \hat{j} + 3 \hat{k})$ 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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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