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\( ( - 0 , \frac { 8 } { 8 } + \frac { 10 } { 3 } ) \cdot ( - \frac { 1 } { 3 } ) = \)

Ask by Norris Hilton. in Argentina
Feb 20,2025

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The Deep Dive

To solve the expression \( ( - 0 , \frac { 8 } { 8 } + \frac { 10 } { 3 } ) \cdot ( - \frac { 1 } { 3 } ) \), let's break it down. First, simplify \( \frac{8}{8} + \frac{10}{3} = 1 + \frac{10}{3} = \frac{3}{3} + \frac{10}{3} = \frac{13}{3} \). So, we are looking at \( (0, \frac{13}{3}) \cdot (-\frac{1}{3}) \). When multiplying a vector by a scalar, you can multiply each component by the scalar. Therefore, \( (0 \cdot -\frac{1}{3}, \frac{13}{3} \cdot -\frac{1}{3}) = (0, -\frac{13}{9}) \). So the final answer is \( (0, -\frac{13}{9}) \).

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