AP EAMCET · Maths · Three Dimensional Geometry
If \(\overrightarrow{\mathrm{p}}=4 \hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\) is a point and \(\overrightarrow{\mathrm{q}}=9 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+6 \hat{\mathrm{k}}\) is a vector, then the perpendicular distance of origin from the plane passing through \(\overrightarrow{\mathrm{p}}\) and perpendicular to \(\overrightarrow{\mathrm{q}}\) is
- A 4
- B \(3 \sqrt{2}\)
- C 9
- D 11
Answer & Solution
Correct Answer
(A) 4
Step-by-step Solution
Detailed explanation
\(\vec{p}=4 \hat{i}-\hat{j}-\hat{k} ; \vec{q}=9 \hat{i}-2 \hat{j}-6 \hat{k}\) Equation of plane passing through \(\vec{p}\) and perpendicular to \(\vec{q}\) is \(\vec{q} \cdot(\vec{r}-\vec{p})=0\) \(\vec{q} \cdot \vec{r}-\vec{q} \cdot \vec{p}=0\)…
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