Question:medium

A vector $\vec{n}$ is inclined to X-axis at 45°, Y-axis at 60° and at an acute angle to Z-axis. If $\vec{n}$ is normal to a plane passing through the point $(-\sqrt{2},1,1)$ then equation of the plane is

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Logic Tip: As soon as you discover the normal vector's direction ratios are $(\sqrt{2}, 1, 1)$, check the options. Option A is the only one with this sequence of coefficients! You don't even need to plug in the point.
Updated On: Apr 28, 2026
  • $\sqrt{2}x+y+z=0$
  • $x+\sqrt{2}y+z=1$
  • $-\sqrt{2}x+y+2z=5$
  • $x+y+\sqrt{2}z=1$
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The Correct Option is A

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