Question:

Which of the following is a subspace of the real vector space \(\R^3\) ?

Updated On: Oct 1, 2024
  • {(x, y, z) ∈ \(\R^3\) : (y + z)2 + (2x - 3y)2 = 0}
  • {(x, y, z) ∈ \(\R^3\) : y ∈ Q}
  • {(x, y, z) ∈ \(\R^3\) : yz = 0}
  • {(x, y, z) ∈ \(\R^3\) : x + 2y - 3z + 1 = 0}
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The Correct Option is A

Solution and Explanation

The correct option is (A) : {(x, y, z) ∈ \(\R^3\) : (y + z)2 + (2x - 3y)2 = 0}.
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