IB Mathematics HL – Vectors, Cartesian equation form of a line 3D

How can we find the Cartesian equation form of the line passing through the point (1,4,9) and is parallel to the vector ?


The Cartesian form for the equation of a straight line is :












where is a position vector (a point on the line)




and is a direction vector ( a vector parallel to the line)







Concerning your question we have that the Cartesian equation form is given by the following formula: