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A particle acted upon by constant forces...

A particle acted upon by constant forces `4hati+hatj-3hatk and 3hati + hatj-hatk` is displaced from the point `hati+2hatj+3hatk` to point `5hati+4hatj+hatk`. The total work done by the forces in SI unit is

Text Solution

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`Here vecF=vecF_(1)+vecF_(2)=(4hati+hatj-3hatk)+(3hati+hatj-hatk)=7hati+2hatj-4hatk`
`and vecd=vecd_(2)-vecd_(1)(5hati+4hatj+hatk)-(hati+2hatj+3hatk)=4hati+2hatj-2hatk`
Work done = `vecF.vecd`
`=(7hati+2hatj-4hatk).(4hati+2hatj-2hatk)`
= (7) (4) + (2) (2) + (-4) (-2)
= 28 + 4 +8 = 40 units.
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