Find the (vector) equation for the line passing through the point P(2, 1, 5) and parallel to the vector ?3, -6, 1? ? ?3 + 2t, -6 + t, 1 + 5t? ? ?2 + 3t, 1 - 6t, 5 + t? ? ?2 + t, 1 - 7t, 1 + 4t? ? ?-1 - 10t, 7 - t, 1 - 5t?
Added by Ashley T.
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So, the equation of the line will have the form: $\textbf{r}(t) = \textbf{P} + t\textbf{v}$ where $\textbf{r}(t)$ is the position vector of a point on the line, $\textbf{P}$ is the position vector of the point P, and $\textbf{v}$ is the direction vector of the Show more…
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