MathProblemsBank

5.1.2 Affine transformations

Problem: The plane \( P: x_{1}+2 x_{2}+3 x_{3}+a x_{4}=5 \) is parallel to the plane \( Q: x_{1}+2 x_{2}=1, x_{3}+x_{4}=2 \) for \( a=\cdots \).