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  • Provide solution for RD Sharma maths class 12 chapter The Plane exercise 28.3 question 4 sub question (iii)

Provide solution for RD Sharma maths class 12 chapter The Plane exercise 28.3  question 4 sub question (iii)

Answers (1)

Answer:

\vec{r} \cdot(\hat{\imath}+\hat{\jmath})=3

Hint:

\vec{r} \cdot \vec{n}=d

Given:

x+y=5

Solution:

Vector equation of the plane \vec{r} \cdot \vec{n}=d

x+y=3

\begin{aligned} &\Rightarrow(x \hat{\imath}+y \hat{\jmath}+z \hat{k}) \cdot(\hat{\imath}+\hat{\jmath})=3 \\\\ &\vec{r} \cdot(\hat{\imath}+\hat{\jmath})=3[\therefore \vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k}] \end{aligned}

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