Find the magnitude of $$\vec{u}=(-5,3)$$ [Enter an exact answer as an expression with a square root symbol ]



<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Find the magnitude of $$\vec{u}=(-5,3)$$ [Enter an exact answer as an expression with a square root symbol ]

</textarea>Find the magnitude of <math><semantics><mrow><mover accent="true"><mrow><mi>u</mi></mrow><mo>⃗</mo></mover><mo>=</mo><mo>(</mo><mo>−</mo><mn>5</mn><mo separator="true">,</mo><mn>3</mn><mo>)</mo></mrow><annotation encoding="application/x-tex">\vec{u}=(-5,3)</annotation></semantics></math>​u​⃗​​=(−5,3) [Enter an exact answer as an expression with a square root symbol ]
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Given that,$$ \vec{u}=(-5,3)$$
$$\|\vec{u}\| =\sqrt{(-5)^{2}+3^{2}}=\sqrt{25+9}=\sqrt{34}$$


</textarea>Given that,<math><semantics><mrow><mover accent="true"><mrow><mi>u</mi></mrow><mo>⃗</mo></mover><mo>=</mo><mo>(</mo><mo>−</mo><mn>5</mn><mo separator="true">,</mo><mn>3</mn><mo>)</mo></mrow><annotation encoding="application/x-tex"> \vec{u}=(-5,3)</annotation></semantics></math>​u​⃗​​=(−5,3) <math><semantics><mrow><mi mathvariant="normal">∣</mi><mover accent="true"><mrow><mi>u</mi></mrow><mo>⃗</mo></mover><mi mathvariant="normal">∣</mi><mo>=</mo><msqrt><mrow><mo>(</mo><mo>−</mo><mn>5</mn><msup><mo>)</mo><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mn>3</mn><mrow><mn>2</mn></mrow></msup></mrow></msqrt><mo>=</mo><msqrt><mrow><mn>2</mn><mn>5</mn><mo>+</mo><mn>9</mn></mrow></msqrt><mo>=</mo><msqrt><mrow><mn>3</mn><mn>4</mn></mrow></msqrt></mrow><annotation encoding="application/x-tex">|\vec{u}| =\sqrt{(-5)^{2}+3^{2}}=\sqrt{25+9}=\sqrt{34}</annotation></semantics></math>∣​u​⃗​​∣=√​(−5)​2​​+3​2​​​​​=√​25+9​​​=√​34​​​
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