If ,
,
and
, then
equals (
are non-coplanar)
AS we learned
Linear combination of vectors -
- wherein
Any vectors in space can be written as linear combination of 3 non-coplanar vectors.
Let
are non-coplanar, so
only when
2x+y-2z=3; 3x-2y+z=-1; -x+2y-2z=2
on solving, we get
x=2, y=5, z=3
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