Find the point of intersection of the line and the plane .

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Find the point of intersection of the line

\mathbf{r} = \begin{pmatrix} 1 \\ -3 \\ -2 \end{pmatrix} + \lambda \begin{pmatrix} 4 \\ 1 \\ -6 \end{pmatrix}

and the plane

2x - 4y + z = 16