Word Count : 75

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Let $w_1=(1,0,1,0),\; w_2=(2,0,0,2),\; w_3=(0,0,4,4)$ in $\mathbb{R}^4$. Start with $u_1=w_1$. Compute $$ \operatorname{proj}_{u_1}(w_2)=\frac{w_2\cdot u_1}{u_1\cdot u_1}u_1=\frac{2}{2}u_1=u_1, $$ _________ _____ ______ _____ __________ ___ _______ ______ ________ _______ ___ ______.
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