The vector equation of the plane passing through the origin and the line of intersection…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
The vector equation of the plane passing through the origin and the line of intersection of the plane \(\vec{r} \cdot \vec{a}=\lambda\) and \(\vec{r} \cdot \vec{b}=\mu\) is :
- \(\vec{r} \cdot(\lambda \vec{a}-\mu \vec{b})=0\)
- \(\vec{r} \cdot(\lambda \vec{b}-\mu \vec{a})=0\)
- \(\vec{r} \cdot(\lambda \vec{a}+\mu \vec{b})=0\)
- \(\overrightarrow{\mathrm{r}} .(\lambda \overrightarrow{\mathrm{b}}+\mu \overrightarrow{\mathrm{a}})=0\)
Answer
(B) r ( b - a )=0
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