Mathematics, 28.11.2019 06:31 darenl3601
Show that if ~w is orthogonal to ~u and ~v, then ~w is orthogonal to every vector ~x in span{~u, ~v}.
Answers: 1
is ortogonal to a vector 
if, and only if, the scalar product 
Hence, it should be 
is a vector spanned by 
and 
lets say 
for certain complex (or real) values a and b, then we have
and 
are equal to 0. That proves that 
is perpendicular to 
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Show that if ~w is orthogonal to ~u and ~v, then ~w is orthogonal to every vector ~x in span{~u, ~v}...
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