Q.

A particle acted on by constant forces f¯=4i^+3j^-3k^ and g→=3i^+j^-k^ experiences a displacement from the  point a→=i^+2j^+3k^ to the point b→=5i^+4j^+k^ . The total  work done by the forces is

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answer is 44.

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Detailed Solution

Resultant F→=7i^+4j^−4k^d→=(5i^+4j^+k^)−(i^+2j^+3k^)=4i^+2j^−2k^∴W=F→⋅d→                                              =(7i^+4j^−4k^)(4i^+2j^−2k^)                            =28+8+8=44
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A particle acted on by constant forces f¯=4i^+3j^-3k^ and g→=3i^+j^-k^ experiences a displacement from the  point a→=i^+2j^+3k^ to the point b→=5i^+4j^+k^ . The total  work done by the forces is