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Vectorial equation of a line
Derive the vectorial equation of a straight line passing through two generic points A and B.
Choose two concrete points A and B, and use that vectorial equation to obtain the parametric equation of the line.
Generate a 3D plot of this line.
The vectorial equation of a line is the equation satisfied by the position vector of any point of this line; in this case we want to express that equation in terms of the position vectors of the points A and B. The parametric equation is obtained from the vectorial equation with the coefficients of the unit vectors.