If the vectors e1 = (1, 0, 2), e2 = (0, 1, 0) and e3 = (-2, 0, 1) form an orthogonal basis of the three-dimensional real space R3, then the vector u = (4, 3, -3) \[ \in \] R3 can be expressed as
A. \[{\text{u}} = - \frac{2}{5}{{\text{e}}_1} - 3{{\text{e}}_2} - \frac{{11}}{5}{{\text{e}}_3}\]
B. \[{\text{u}} = - \frac{2}{5}{{\text{e}}_1} - 3{{\text{e}}_2} + \frac{{11}}{5}{{\text{e}}_3}\]
C. \[{\text{u}} = - \frac{2}{5}{{\text{e}}_1} + 3{{\text{e}}_2} + \frac{{11}}{5}{{\text{e}}_3}\]
D. \[{\text{u}} = - \frac{2}{5}{{\text{e}}_1} + 3{{\text{e}}_2} - \frac{{11}}{5}{{\text{e}}_3}\]
Answer: Option D
This Question Belongs to Engineering Maths >> Linear Algebra
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