The equation of the plane passing through the line| Vector

JEE MAIN_2021_

27-8-2021_S2

Question

The equation of the plane passing through the line of intersection of the planes $\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=1$ and $\overrightarrow{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}})+4=0$ and parallel to the $x$-axis is:

Select the correct option:

$\overline{\mathrm{r}} \cdot(\hat{\mathrm{j}}-3 \hat{\mathrm{k}})+6=0$

$\overline{\mathrm{r}} \cdot(\hat{\mathrm{i}}+3 \hat{\mathrm{k}})+6=0$

$\overrightarrow{\mathrm{r}} \cdot(\hat{\mathrm{i}}-3 \hat{\mathrm{k}})+6=0$

$\overline{\mathrm{r}} \cdot(\hat{\mathrm{j}}-3 \hat{\mathrm{k}})-6=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution