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Questions › JNU › JNU SIS 2018 › Q11
2 marks, −1Mathematics › Vector spaces, rank and eigenvalues › Norms, inner products and orthogonalityEasyabout 1 min

JNU SIS 2018 Question 11: Vector spaces, rank and eigenvalues

Which of the following is a unit vector that is orthogonal (perpendicular) to the vector a=(1,−1,2)a = (1, -1, 2)a=(1,−1,2)?

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Plain-text version

Which of the following is a unit vector that is orthogonal (perpendicular) to the vector a = (1, -1, 2)? (A) (1, -1, -1) (B) (-1/√3, -1/√3, 1/√3) (C) (1/√3, -1/√3, -1/√3) (D) (1/√2, -1/√2, -1/√2)

Vector spaces, rank and eigenvalues has come up 41 times in 6 exams since 2008.

What this question tests

This question is on Norms, inner products and orthogonality, part of Vector spaces, rank and eigenvalues in Mathematics.

Length and angle in vector spaces and the matrices that preserve them.

TestStop has 7 past-paper questions on this subtopic; the nearest in year are below.

  • IIT JAM 2021 · Q10Let ‖·‖ and ⟨·,·⟩ denote the standard norm and inner product in ℝⁿ. If u, v ∈ ℝ³ with ‖u‖ = ‖v‖ = 2 and the…
Practise Vector spaces, rank and eigenvaluesMore on Norms, inner products and orthogonality

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Question from the JNU SIS 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.