The line passes through the point (2, 3, 4) and is perpendicular to the plane given by 3x + 2y - z = 6.

Question

Find a set of parametric equations of the line.

The line passes through the point (2, 3, 4) and is perpendicular to the plane given by 3x + 2y - z = 6.

Answer 1

Step 1:

The point is .

The plane equation is .

The normal vector of the plane is .

Parametric equation is .

The parametric equations are

, and .

Solution:

The parametric equations are

, and .