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Does an 8-dimensional vector space contain linear subspaces \(V_{1}, V_{2}, V_{3}\) with no common non-zero element, such that

 

a). \(\operatorname{dim}\left(V_{i}\right)=5, i=1,2,3\) ?
b). \(\operatorname{dim}\left(V_{i}\right)=6, \quad i=1,2,3 ?\)
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