TS EAMCET · Maths · Three Dimensional Geometry
\(\vec{n}\) is a unit vector normal to the plane \(\pi\) containing the vectors \(\hat{i}+3 \hat{k}\) and \(2 \hat{i}+\hat{j}-\hat{k}\). If this plane \(\pi\) passes through the point \((-3,7,1)\) and p is the perpendicular distance from the origin to this plane \(\pi\), then \(\sqrt{p^2+5}=\)
- A 59
- B 8
- C 64
- D 51
Answer & Solution
Correct Answer
(B) 8
Step-by-step Solution
Detailed explanation
Equation of plane \(\pi\) containing two vectors \(\alpha\) and \(\beta\) and passes through point \(a\) is \((\vec{r}-\vec{a})(\vec{\alpha} \times \vec{\beta})=0\)…
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