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Let e1=(35,45)e_1=\left(\tfrac35,\tfrac45\right) and e2=(45,35)e_2=\left(-\tfrac45,\tfrac35\right), an orthonormal basis of R2\mathbb{R}^2. Compute the coordinate v,e1\langle v,e_1\rangle for v=(5,10)v=(5,10).
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