Three forces 2- - -3k- - -k- and -2- -2- -k- are applied on a body- Is the body in equilibrium-

Resultant of forces 2î ĵ+3k̂ , ĵ+k̂ and 2î 2ĵ+k̂ is (2î ĵ+3k̂)+(ĵ+k̂)+( 2î 2ĵ+k̂) =2î ĵ+3k̂+ĵ+k̂ 2î 2ĵ+k̂ = 2ĵ+5k̂ As the result ...

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Addition of Vectors

Three forces ...

Question

Three forces $2^i -^j + 3^k,^j +^k$ and $- 2^i - 2^j +^k$ are applied on a body. Is the body in equilibrium?

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Solution

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→A={^i+^j+^k}, →B={2^i−^j−3^k}

\to C

\to C

1 kg

3 kg

4 kg

(^i + 2^j +^k)

(- 3^i - 2^j +^k)

(4^i)

2^i -^j -^k,^i +^j +^k, 2^i + 2^j +^k, 2^j + 5^k

\to r =^i + 2^j + 3^k + λ (^i -^j +^k)

\to r = 2^i -^j -^k + μ (^i -^j +^k)

2^i + 3^j +^k

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