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Find the magnitude of F1 and F2. If F1, ...

Find the magnitude of `F_1 and F_2`. If `F_1, F_2` make angle `30^@ and 45^@` with `F_3` and magnitude of `F_3` is 10 N.`("given "vecF_1 + F_2 = vecF_3)`

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`|vecF_3| = F_(1) cos 30^@ + F_(2) cos 45^@ & F_2 sin 45^@ = F_1 sin 30^@`
`implies 10 = (sqrt(3)F_(1))/(2) + (F_2)/(sqrt2) , (F_2)/(sqrt2) = (F_1)/2`

`implies F_(1) = 20/(sqrt(3) + 1) & F_(2) = (20sqrt2)/(sqrt(3) + 1)` .
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