Prove that the lines and are coplanar

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

Problem

Prove that the lines

\frac{x+1}{3} = \frac{y+3}{5} = \frac{z+5}{7}

and

\frac{x-2}{1} = \frac{y-4}{4} = \frac{z-6}{7}

are coplanar. Also, find the plane containing these two lines.