Svar Övning 6.1.3

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a) \displaystyle f_{x_{1}}=\frac{x_{1}}{|\mathbf{x}|}, \displaystyle f_{x_{2}}=\frac{x_{2}}{|\mathbf{x}|}, \displaystyle f_{x_{3}}=\frac{x_{3}}{|\mathbf{x}|}

b) \displaystyle f_{x_{1}}=2x_{1}, \displaystyle f_{x_{2}}=2x_{2}, \displaystyle f_{x_{3}}=2x_{3}

c) \displaystyle f_{x_{1}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{1}}{|\mathbf{x}|}, \displaystyle f_{x_{2}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{2}}{|\mathbf{x}|}, \displaystyle f_{x_{3}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{3}}{|\mathbf{x}|}