Which of the following sets are subspaces of R°? A. ((x, y, z) | x < y < z} B. ((x, y, z) | 5x – 9y = 0, 6x + 3z = 0} C. {(x, y, z) | x+ y+z = -3) D. ((3x, 2x, -8x) | x arbitrary number } E. ((x, y, z) | - 5x + 9y- 6z = 0} F. {(x, x- 5, x +9) | x arbitrary number } %3D

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A: This is a problem related to inner product space. Please see the next step for details.

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Q: Can someone help me answer this question with all the steps thank you.

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A: According to our guidelines we can answer only one question and rest can be reposted.

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A: M3. The two vectors u and v have the same length if: (a)u→·v→=v→·u→

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Q: . Let W₁ -00--00 and W₂ = (b) 1 equal to (a) 0 be subspaces of R³. Then dim(W₁ W₂) is (c) 2 (d) 3

A: We have to solve given problems: