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Need solution for RD Sharma maths class 12 chapter The Plane exercise 28.3  question 2 sub question (ii)

Answers (1)

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Answer:

-x+y+2z=9

Hint:

\vec{r}=x \hat{\imath}+y \hat{\jmath}+z \hat{k}

Given:

\vec{r} \cdot(-\hat{\imath}+\hat{\jmath}+2 \hat{k})=9

Solution:

\begin{aligned} &\vec{r} \cdot(-\hat{\imath}+\hat{\jmath}+2 \hat{k})=9 \\\\ &\Rightarrow(x \hat{\imath}+y \hat{\jmath}+z \hat{k}) \cdot(-\hat{\imath}+\hat{\jmath}+2 \hat{k})=9 \\\\ &-x+y+2 z=9 \end{aligned}

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