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GATE EC 2016 Set 3 — Question 37

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MCQ+2 / -0.67MediumVector Spaces, Basis & DimensionLinear AlgebraEngineering MathematicsVectors & Vector Operations

Engineering Mathematics → Linear Algebra → Vector Spaces, Basis & Dimension

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Question

If the vectors e1=(1,0,2)\mathbf{e}_1 = (1, 0, 2), e2=(0,1,0)\mathbf{e}_2 = (0, 1, 0) and e3=(−2,0,1)\mathbf{e}_3 = (-2, 0, 1) form an orthogonal basis of the three-dimensional real space R3\mathbb{R}^3, then the vector u=(4,3,−3)∈R3\mathbf{u} = (4, 3, -3) \in \mathbb{R}^3 can be expressed as
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