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A force vec(F)=3hat(i)+2hat(j)+chat(k)N ...

A force `vec(F)=3hat(i)+2hat(j)+chat(k)`N causes a displacement `vec(r )=chat(i)+4hat(j)+chat(k)` `m`. The work done is 36 `J`. Find the values `(s)` of c.

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The correct Answer is:
`c=4,7`
`f= 3hat(i)+2hat(j)+chat(k)` and `vec(r )=c hat(i)+4hat(j)+chat(k)`
`:. vec(F).vec(r )=36=3c+8+c^(2)` or `c^(2)+36-28=0`
`c^(2)+7c-4c-28=0`
`rArr c(c+7)-4(c+7)=0`
(c-4)(c+7)=0 rArr c=4,7`
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