Does the point $(1,8,3)$ line on the line with parametric equation:
$$x = 5 + 2t$$
$$y = 2 + 6t$$
$$z = 1 + 3t$$
I know how to solve if they give me a equation of a plane and ask whether the line intersect the plane or not. If it intersect I can find where it intersect(the point of intersection). Can someone help me please!
Best Answer
HINT:
Putting the values of the $x,y$ and $z$ co-ordinates of the point $(1,8,3)$ in the parametric equation of the line, see if they yield the same value of $t$. If yes, then the point is on the line. Else not.