Write the set of vectors that are orthogonal to v as a linear combination of two unit vectors. v=(:1,−sqrt8,−sqrt8:) is a vector.

Gunsaz 2022-10-08 Answered
Write the set of vectors that are orthogonal to v as a linear combination of two unit vectors.
v = 1 , 8 , 8  is a vector. is a vector.
I know I have to find two unit vectors u and w so that any vector that is orthogonal to v can be expressed as a linear combination of u and w.
Help, please.
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Answers (1)

xgirlrogueim
Answered 2022-10-09 Author has 13 answers
Make an ansatz u = x , y , 0 and from v u and u = 1 obtain conditions for x,y. After that, do the same with w = 0 , y , z
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