The vector equation intersection|Vector & 3D|JEE-MAIN-2021

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JEE MAIN 2021

24-02-2021 S2

Question

The vector equation of the plane passing through the intersection of the planes $\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=1$ and $\vec{r} \cdot(\hat{i}-2 \hat{j})=-2$, and the point $(1,0,2)$ is :

Select the correct option:

A

$\overrightarrow{\mathrm{r}} \cdot(\hat{\mathrm{i}}-7 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})=\frac{7}{3}$

B

$\vec{r} \cdot(3 \hat{i}+7 \hat{j}+3 \hat{k})=\frac{7}{3}$

C

$\overrightarrow{\mathrm{r}} \cdot(\hat{\mathrm{i}}+7 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})=7$

D

$\overrightarrow{\mathrm{r}} \cdot(\hat{\mathrm{i}}-7 \hat{\mathrm{j}}+3 \hat{\mathrm{k}})=\frac{7}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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