Two forces $_{1} = 3^i + 4^j$ ${\to F}_{1} = 3^j + 4^k$ are acting simultaneously at a point. What is the magnitude of the resultant force?

50 N

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8.6 N

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\sqrt{74} N

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\sqrt{50} N

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Solution

The correct option is C $8.6 N$
$a = 3 i + 4 j$
$b = 3 j + 4 k$
$F_{n e t} = a + b = 3 i + 7 j + 4 k$
$F_{n e t} = \sqrt{3^{2} + 7^{2} + 4^{2}}$
$F_{n e t} = \sqrt{74}$
$F_{n e t} = 8.60$

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_{1} = 2^i + 3^j + 4^k

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