Answer- r(t) = (5,0,0) + t(5,3,-1)
Solution - we have been given the point vector P as (5,0,0) and the velocity vector V as (5,3,-1)
The general form for the vector equation of a line is (x,y,z) = \
(Px, Py, Pz) + t(Vx, Vy, Vz)
Where P is a point, V is a vector and t is a scalar parameter.
Therefore, the vector equation of the requested line is:
r(t) = r(x,y,z) = (5,0,0) + t(5,3,-1)
