Given the Euclidean inner product space (regular) (R³(R),+,.,) and the vector subspace {(x, y, z)=R³ | x+2y+2z=0, 2x-y-6z=0}. Find a basis of V and an orthonormal basis of V. What does the subspace V+ describe geometrically? V =

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A: Given,   {(x,y,z) ∈ R3:(x,y,z)-(1,1,1)=0}={(x,y,z) ∈ R³:x+y+z=0}=L(1,-1,0),(1,0,-1)} and we need to…

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A: s = - 10 (option a) The detailed solution is as follows below:

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