IB Mathematics HL – Vectors, Parallel, coincident or skew lines
We first rewrite the Cartesian equation for
We observe that the lines
have parallel direction vectors since
Thus the lines
are either parallel or coincident.
For example the point
. Then we check whether it is also on
into the equation of
and we have
Therefore the point
. As they share a common point,
cannot be parallel, thus they are coincident.
Hope these help!