Determine k sabendo que |v| ^2=39 e v=(1;k;-5/2).... Pergunta de ideia deBaat

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Determine k sabendo que |v| ^2=39 e v=(1;k;-5/2)

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JoãoTeixeira A norma de um vetor, será a raiz quadrada da soma de suas coordenadas ao quadrado:

|v|² = ( $\sqrt{1^2 + k^2 + (\frac{-5}{2})^2 }$ )²
39 = $1 + k^2 + \frac{25}{4}$
39 = $\frac{29}{4} + k^2$
k² = $\frac{156}{4}-\frac{29}{4}$
k = $\sqrt\frac{127}{4}$

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