How do you parametrize a line?

Solution:The line is parallel to the vector $\vc{v}= (3,1,2) - (1,0,5) = (2,1,-3)$. Hence, a parametrization for the line is \begin{align*} \vc{x} = (1,0,5) + t(2,1,-3) \qquad \text{for} \quad
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9.6 Vector-Valued Functions

Given two points in 3D space, determine the vector parameterization of a line.

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