# Science:Math Exam Resources/Courses/MATH221/December 2008/Question 04 (a)

MATH221 December 2008

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### Question 04 (a)

Let W be the plane spanned by the vectors ${\displaystyle v={\begin{pmatrix}1\\1\\1\\1\end{pmatrix}}}$ and ${\displaystyle w={\begin{pmatrix}2\\0\\2\\0\end{pmatrix}}}$. Verify that the vector ${\displaystyle u={\begin{pmatrix}0\\1\\0\\1\end{pmatrix}}}$ is in the subspace W and show that the vectors u and w form an orthogonal basis for W.

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