Find the Closest Point to Y in the Subspace W

question 3

Multiple Choice

Find the closest point to y in the subspace W spanned by u₁ and u₂.
- $$\mathbf { y } = \left[ \begin{array} { r } 27 \\17 \\7\end{array} \right] , \mathbf { u } _ { 1 } = \left[ \begin{array} { r } 2 \\2 \\- 1\end{array} \right] , \mathbf { u } _ { 2 } = \left[ \begin{array} { r } - 1 \\3 \\4\end{array} \right]$$

• A)
• \(\left[ \begin{array} { c } - 8 \\ 96 \\ 95 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r } - 16 \\ - 24 \\ 1 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r } - 5 \\ 31 \\ 34 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { c } 16 \\ 24 \\ - 1 \end{array} \right]\)

Appreciate the dietary requirements and functions of macronutrients and micronutrients.

Understand the role of proteins in the body and differentiate between their functions.

Explain the process and products of aerobic and anaerobic cellular respiration.

Identify the stages of the citric acid cycle and its role in cellular metabolism.

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