Quale di queste espressioni del prodotto vettoriale tra i vettori $$\overrightarrow{a}$$ e $$\overrightarrow{b}$$ è corretta? Opzioni: $$\overrightarrow{a}\times\overrightarrow{b}=a\ b\cos\theta$$ $$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=a\ b\cos\theta$$ $$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=a\ b\ \sin\theta$$ $$\overrightarrow{a}\times\overrightarrow{b}=a\ b\ \sin\theta$$

$$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=a\ b\ \sin\theta$$

Osservate i vettori. Quali sono i risultati corretti? Options: $$\left|\overrightarrow{a}\ \times\ \overrightarrow{b}\right|=a\ b\ \ ;\ \ \overrightarrow{c}\ \cdot\ \overrightarrow{d}=c\ d$$ , $$\left|\overrightarrow{a}\ \times\ \overrightarrow{b}\right|=0\ \ ;\ \ \ \overrightarrow{c}\ \cdot\ \overrightarrow{d}=0$$ , $$\overrightarrow{a}\ \cdot\ \overrightarrow{b}=0\ \ ;\ \ \overrightarrow{c}\times\overrightarrow{d}=0$$ , $$\left|\overrightarrow{a}\ \times\ \overrightarrow{b}\right|=\sqrt[]{a^2+b^2}\ \ ;\ \ \ \overrightarrow{c}\ \cdot\ \overrightarrow{d}=c+d\ $$

$$\left|\overrightarrow{a}\ \times\ \overrightarrow{b}\right|=a\ b\ \ ;\ \ \overrightarrow{c}\ \cdot\ \overrightarrow{d}=c\ d$$

Quale di queste affermazioni è vera riguardo al prodotto scalare tra i vettori $$\overrightarrow{a}$$ e $$\overrightarrow{b}$$ ? Opzioni: $$\overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\sin\theta$$ $$\overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\cos\theta$$ $$\overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|+\left|\overrightarrow{b}\right|$$ $$\overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\tan\theta$$

$$\overrightarrow{a}\cdot\overrightarrow{b}=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\cos\theta$$

Se i vettori $$\overrightarrow{a}$$ e $$\overrightarrow{b}$$ sono ortogonali, quale delle seguenti affermazioni è corretta? Opzioni: $$\overrightarrow{a}\cdot\overrightarrow{b}=1$$ $$\overrightarrow{a}\cdot\overrightarrow{b}=0$$ $$\left|\overrightarrow{a}\right|=\left|\overrightarrow{b}\right|$$ $$\overrightarrow{a}\times\overrightarrow{b}=0$$

$$\overrightarrow{a}\cdot\overrightarrow{b}=0$$

Quale delle seguenti espressioni rappresenta il modulo del prodotto vettoriale tra i vettori $$\overrightarrow{a}$$ e $$\overrightarrow{b}$$ ? Opzioni: $$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\sin\theta$$ $$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\cos\theta$$ $$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=\left|\overrightarrow{a}\right|+\left|\overrightarrow{b}\right|$$ $$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=0$$

$$\left|\overrightarrow{a}\times\overrightarrow{b}\right|=\left|\overrightarrow{a}\right|\left|\overrightarrow{b}\right|\sin\theta$$

Calcolo vettoriale per F1Mat

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Mathematics

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10th Grade - University

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Practice Problem

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Hard

Piergiorgio Fusco

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8 questions

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FLASHCARD QUESTION

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FLASHCARD QUESTION

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FLASHCARD QUESTION

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Osservate i vettori. Quali sono i risultati corretti?

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Ortogonale al piano della figura, uscente

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FLASHCARD QUESTION

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