Finding A and L in Parametric Equation X(t)

[Amebos]

Homework Statement

The equation X(t)=A+tL is the parametric equation of a line through the point P:(2,-3,1). The parameter t represents distance from point P, directed so that the I component of L is positive. We know that the line is orthogonal to the plane with the equation 4x-6y+5z=6. Then solve for A and L in vector component form.

Homework Equations

Standard Vector Calculus equations.

The Attempt at a Solution

My problem here is simply understanding what the problem is saying. The t term is throwing me off. Hopefully some of you could shed some light on this.

 

[Dick]

t is a number - like x in the 2d straight line equation y=m*x+b. L is analogous to the slope m. So as t runs from -infinity to infinity X(t) runs through a curve of points. That curve is a straight line.