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  3. v is a subspace of inner-product space r3, generat

V is a subspace of inner-product space R3, generated by vector u =[1 1 2]T and v =[...

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Advance Math

V is a subspace of inner-product space R3, generatedby vector

u =[1 1 2]T and v=[ 2 2 3]T.

T is transpose

(1) Find its orthogonal complement space V? ;

(2) Find the dimension of space W = V+ V?;

(3) Find the angle q between u andv; also the angle b betweenu and normalized x with respectto its 2-norm.

(4) Considering v’ =av, a is a scaler, show theangle q’ between u andv’

Answer & Explanation Solved by verified expert
4.0 Ratings (531 Votes)
Problem 1Note that and are nonzero vectorsand one is not a scalar multiple of anotherSInceso This is a sideremark if you know thatThen ie the orthogonal complement of is one dimensionalSo any non zero vector in is abasis of Continuing    See Answer
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