Find the vector, parametric, and symmetric equations of the line that passes through the points A(2, 4, -3) and B(3, -1, 1).
Added by Timothy B.
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The direction vector \(\mathbf{d}\) can be found by subtracting the coordinates of point A from point B: \[ \mathbf{d} = \begin{pmatrix} 3 - 2 \\ -1 - 4 \\ 1 - (-3) \end{pmatrix} = \begin{pmatrix} 1 \\ -5 \\ 4 \end{pmatrix} \] Show more…
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