Question

The direction ratios of a normal to the plane plane x + y = 3 can be -

• A. 0,1,0
• B. 1,1,√2
• C. 1,0,0
• D. √2,1,1

Answer 1

The direction ratios of a normal to the plane x + y = 3 are proportional to (1, 1, 0). None of the given options are correct.

Answer 2

The equation of the plane is $x + y = 3$, which can be written as $1x + 1y + 0z - 3 = 0$. The direction ratios of a normal vector to this plane are given by the coefficients of $x$, $y$, and $z$, which are $(1, 1, 0)$. Any non-zero scalar multiple of $(1, 1, 0)$ is also a valid set of direction ratios. The options provided do not include any vector proportional to $(1, 1, 0)$, suggesting a potential error in the question or options.