Step 1: Substitute the parametric equations of the line into the equation of the plane:
\[ x = 3 - t, \quad y = 2 + t, \quad z = 4t \]
\[ x + y - 3z = 4 \]
Substitute the values of x, y, and z into the plane equation:
\[ (3 - t) + (2 + t) - 3(4t) = 4 \]
\[ 3 - t +
Show more…