Let a and b be fixed vectors in R3, and let W

Chapter 3, Problem 25E

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Problem 25E

Let a and b be fixed vectors in R3, and let W be the subset of R3 defined by w = {x: aT x = 0 and bT x = 0}

Prove that W is a subspace of R3. For each choice of a and b, give a geometric description ofW.

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