Mathematics · 2021
JEE Main · 24 February 2021, Shift 2 · Q76
The vector equation of the plane passing through the intersection of the planes r ·( i + j + k )=1 and r ·( i -2 j )=-2, and the point ( 1,0,2 ) is:
The vector equation of the plane passing through the intersection of the planes $\displaystyle \overrightarrow{\mathrm{r}} \cdot(\hat{i}+\hat{j}+\hat{k})=1$ and $\displaystyle \overrightarrow{\mathrm{r}} \cdot(\hat{i}-2 \hat{j})=-2$, and the point ( $\displaystyle 1,0,2$ ) is :
Official answer
(2)
$\displaystyle \overrightarrow{\mathrm{r}} \cdot(\hat{i}+7 \hat{j}+3 \hat{k})=7$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.