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#projection

2 questions from Linear Algebra, Optimization & Calculus

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2 questions · 2 min · score and explanations at the end

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Question 1: Short answer

easyAI-checkedLinear Algebra

The unit vector u=(0.6,0.8)\mathbf{u} = (0.6, 0.8) defines the line {αu:α∈R}\{\alpha\mathbf{u} : \alpha \in \mathbb{R}\}. Which point y\mathbf{y} on this line is closest to x=(3,1)\mathbf{x} = (3, 1)?

y=\mathbf{y} = (, )

Fill in every blank (hints in the boxes). Enter moves to the next blank.