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Prove that vectors vecu=(al+a(1)l(1))h...

Prove that vectors
`vecu=(al+a_(1)l_(1))hati+(am+a_(1)m_(1))hatj + (an+a_(1)n_(1))hatk`
`vecv=(bl+b_(1)l_(1))hati+(bm + b_(1)m_(1))hatj+(bn+b_(1)n_(1))hatk`
`vecw=(wl+c_(1)l_(1))hati+(cm+c_(1)m_(1))hatj+(cn+c_(1)n_(1))hatk`

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To prove that the vectors \(\vec{u}\), \(\vec{v}\), and \(\vec{w}\) are coplanar, we need to show that the scalar triple product of these vectors is zero. The vectors are given as follows: \[ \vec{u} = (al + a_1 l_1) \hat{i} + (am + a_1 m_1) \hat{j} + (an + a_1 n_1) \hat{k} \] \[ \vec{v} = (bl + b_1 l_1) \hat{i} + (bm + b_1 m_1) \hat{j} + (bn + b_1 n_1) \hat{k} ...
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