Easy -1.2 This is a straightforward recall question requiring students to identify normal vectors from plane equations (direct reading of coefficients) and verify perpendicularity using the dot product equals zero. It involves minimal steps, no problem-solving insight, and tests only basic vector operations that are routine exercises in C4.
2 Write down normal vectors to the planes \(2 x + 3 y + 4 z = 10\) and \(x - 2 y + z = 5\).
Hence show that these planes are perpendicular to each other.
2 Write down normal vectors to the planes $2 x + 3 y + 4 z = 10$ and $x - 2 y + z = 5$.\\
Hence show that these planes are perpendicular to each other.
\hfill \mbox{\textit{OCR MEI C4 2007 Q2 [4]}}