AP EAMCET · Maths · Three Dimensional Geometry
The plane passing through \((2,1,-3)\) and perpendicular to \(3 \hat{\mathbf{i}}-\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) contains the points
- A \((1,5,1)\) and \((3,0,-5)\)
- B \(\left(\frac{1}{3}, 3, \frac{1}{2}\right)\) and \(\left(1,5, \frac{1}{2}\right)\)
- C \((3,1,-5)\) and \(\left(\frac{1}{3}, 3, \frac{1}{2}\right)\)
- D \((1,5,3)\) and \((3,0,1)\)
Answer & Solution
Correct Answer
(B) \(\left(\frac{1}{3}, 3, \frac{1}{2}\right)\) and \(\left(1,5, \frac{1}{2}\right)\)
Step-by-step Solution
Detailed explanation
Since, we know that the equation of plane passing through a point \(A\) and perpendicular to vector \(\mathbf{n}\) is \((\mathbf{r}-\mathbf{a}) \mathbf{n}=0\) where, \(\mathbf{a}\) is the position vector of point and \(\mathbf{n}\) is the normal vector. Given,…
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