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  • Please solve RD Sharma class 12 chapter The Plane exercise 28.3 question 4 sub question (ii) maths textbook solution

Please solve RD Sharma class 12 chapter The Plane exercise 28.3  question 4 sub question (ii) maths textbook solution

Answers (1)

Answer:

\vec{r} \cdot(\hat{\imath}+\hat{\jmath}-\hat{k})=5

Hint:

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

Given:

x+y-z=5

Solution:

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

\begin{aligned} &x+y-z=5 \\\\ &\Rightarrow(x \hat{\imath}+y \hat{\jmath}+z \hat{k}) \cdot(\hat{\imath}+\hat{\jmath}-\hat{k})=5 \\\\ &\vec{r} \cdot(\hat{\imath}+\hat{\jmath}-\hat{k})=5[\therefore \vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k}] \end{aligned}

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