AP EAMCET · Maths · Three Dimensional Geometry
If \(P=(0,1,0), Q=(0,0,1)\), then the projection of \(P Q\) on the plane \(x+y+z=3\) is
- A \(2\)
- B \(\sqrt{2}\)
- C \(3\)
- D \(\sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
Direction ratios of \(P Q\) \[ =(0-0,0-1,1-0)=(0,-1,1) \] Direction cosine \(=\left(|0|,\left|-\frac{1}{\sqrt{2}}\right|,\left|\frac{1}{\sqrt{2}}\right|\right)\) The given plane is \(x+y+z=3\) Direction ratios of the plane are \((1,1,1)\) Length of the projection…
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