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i. If veca, vecb and vecc are non-coplan...

i. If `veca, vecb and vecc` are non-coplanar vectors, prove that vectors `3veca-7vecb-4vecc, 3veca-2vecb+vecc and veca+vecb+2vecc` are coplanar.

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i. If the given vectors are coplanar, then we should be able to express one of them as a linear combination of the other two.
Let us assume that `3veca-7vecb-4vecc=x(3veca-2vecb+vecc)+y(veca+vecb+2vecc),`
where `x and y` are scalars. Since `veca, vecb and vecc` are non-coplanar, equating the coefficients of `veca, vecb and vecc`, we get
`" "3x+y=3, -2x+y=-7, x+2y=-4`
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