Flashcards: 3-Dimensional Space

Write down the equation of the line in vector form that passes through the points \(\displaystyle (2, 10 , -6)\), and \(\displaystyle (-3, 4, 14)\).

\(\displaystyle \vec{r}=\left \langle 2+5t, 10+6t, -6-2t\right \rangle\)

\(\displaystyle \vec{r}=\left \langle 2-5t, 10+6t, -6-20t\right \rangle\)

\(\displaystyle \vec{r}=\left \langle 2+5t, 10+6t, -6-20t\right \rangle\)

\(\displaystyle \vec{r}=\left \langle 2+5t, 10-6t, -6-20t\right \rangle\)

\(\displaystyle \vec{r}=\left \langle 2+5t, 1+t, -6-20t\right \rangle\)

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