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  • 6.4: Ортогональні набори
    https://ukrayinska.libretexts.org/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%9B%D1%96%D0%BD%D1%96%D0%B9%D0%BD%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/%D0%86%D0%BD%D1%82%D0%B5%D1%80%D0%B0%D0%BA%D1%82%D0%B8%D0%B2%D0%BD%D0%B0_%D0%BB%D1%96%D0%BD%D1%96%D0%B9%D0%BD%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0_(Margalit_%D1%96_Rabinoff)/06%3A_%D0%9E%D1%80%D1%82%D0%BE%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D1%96%D1%81%D1%82%D1%8C/6.04%3A_%D0%9E%D1%80%D1%82%D0%BE%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D1%96_%D0%BD%D0%B0%D0%B1%D0%BE%D1%80%D0%B8
    \[\begin{aligned} x_{W}&=\frac{x\cdot u_1}{u_1\cdot u_1}u_1+\frac{x\cdot u_2}{u_2\cdot u_2}u_2+\frac{x\dot u_3}{u_3\cdot u_3}u_3 \\ &=\frac{-3}{2}\left(\begin{array}{c}1\\0\\-1\\0\end{array}\right)+\f...xW=x⋅u1u1⋅u1u1+x⋅u2u2⋅u2u2+x˙u3u3⋅u3u3=−32(10−10)+−32(010−1)+84(1111)=12(1177)xW⊥=x−xW=12(−11−11).