I have a line with equation $x_i = a_i t + b_i$, for $i = 1, 2, 3$ (if such way not good i can use any other) with which matrix i can transform this line into $y$-axis? I need to do polenty of calculation around this line and its much easy to do it with $y$-axis than with this line. Thanks.
Matrix for transform line into y-axis
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geometry
3d